The Jungle

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  • The Law of the Jungle by Flickr user Ben http://www.flickr.com/photos/visbeek/3341548514/
  • The Jungle

    1. 1. Journey Through the Jungle… Ajani’s Notebook
    2. 2. Ajani’s Notes Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east.
    3. 3. Ajani’s Notes Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. Eagle Rock The Clearing
    4. 4. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den
    5. 5. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den What Ajani wanted to know was:
    6. 6. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul>
    7. 7. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul>
    8. 8. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul>
    9. 9. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul>
    10. 10. Ajani knew he needed to get from Eagle Rock to the clearing, so he drew a grid of the land to help organize his path. The quickest way to get to the clearing would be on paths moving only north or east. He also knew he needed to steer clear of the wolves den and the watering hole. Ajani’s Notes Eagle Rock The Clearing Watering Hole Wolves Den <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul><ul><li>The amount of time it will take to cross the jungle </li></ul>
    11. 11. Something to Think About; Pascal’s Triangle:
    12. 12. Something to Think About; <ul><li>Pascal’s Triangle: </li></ul><ul><li>Arrangement of numbers where any number is the sum of two numbers above it </li></ul>
    13. 13. Something to Think About; <ul><li>Pascal’s Triangle: </li></ul><ul><li>Arrangement of numbers where any number is the sum of two numbers above it </li></ul><ul><li>Ex. 3 + 3 = 6 </li></ul>
    14. 14. Something to Think About; <ul><li>Pascal’s Triangle: </li></ul><ul><li>Arrangement of numbers where any number is the sum of two numbers above it </li></ul><ul><li>Ex. 3 + 3 = 6 </li></ul><ul><li>Can be applied to grid problems to illustrate the number of ways to reach any given point </li></ul>
    15. 15. Applying Pascal’s Triangle Pascal’s Triangle can be applied to grid problems: 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210
    16. 16. Applying Pascal’s Triangle Pascal’s Triangle can be applied to grid problems: It can be used to illustrate the number of ways to reach a given point from another. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210
    17. 17. Applying Pascal’s Triangle Pascal’s Triangle can be applied to grid problems: It can be used to illustrate the number of ways to reach a given point from another. For example from the bottom left hand corner there are 462 ways to reach the top right hand corner. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210
    18. 18. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul><ul><li>The amount of time it will take to cross the jungle </li></ul>
    19. 19. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul>To find the probability of passing the wolves den Ajani needs to know how many ways there are from Eagle Rock to the wolves den and how many ways from the wolves den there are to the clearing. Using the grid it is easy to see there are 21 ways to reach the wolves den from eagle rock.
    20. 20. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul>To find the probability of passing the wolves den Ajani needs to know how many ways there are from Eagle Rock to the wolves den and how many ways from the wolves den there are to the clearing. Using the grid it is easy to see there are 21 ways to reach the wolves den from eagle rock. To find the number of ways from eagle rock to the clearing Ajani must reapply the triangle:
    21. 21. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability To find the number of ways from eagle rock to the clearing Ajani must reapply the triangle: The Clearing Wolves Den 1 1 1 1 2 3 4
    22. 22. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability To find the number of ways from eagle rock to the clearing Ajani must reapply the triangle: Therefore there are four ways to reach the clearing from the wolves den. The Clearing Wolves Den 1 1 1 1 2 3 4
    23. 23. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability The Clearing Wolves Den 1 1 1 1 2 3 4 <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>To find the total number of ways that pass through the wolves den: </li></ul><ul><li>Multiply the number of ways to get to the wolves den from eagle rock by the number of ways to get from the wolves den to the clearing: </li></ul>
    24. 24. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability The Clearing Wolves Den 1 1 1 1 2 3 4 <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>To find the total number of ways that pass through the wolves den: </li></ul><ul><li>Multiply the number of ways to get to the wolves den from eagle rock by the number of ways to get from the wolves den to the clearing: </li></ul><ul><li>P (passing den)=(21)(4) </li></ul><ul><li>462 </li></ul><ul><li>P (passing den)= 84 </li></ul><ul><li>462 </li></ul>= 2 11
    25. 25. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul><ul><li>The amount of time it will take to cross the jungle </li></ul>
    26. 26. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>To reach the watering hole from eagle rock according to the diagram there are 56 ways </li></ul>
    27. 27. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>To reach the watering hole from eagle rock according to the diagram there are 56 ways </li></ul><ul><li>There is only one way to reach the clearing from the watering hole </li></ul>1 1 1 1 The Clearing Watering Hole
    28. 28. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>To reach the watering hole from eagle rock according to the diagram there are 56 ways </li></ul><ul><li>There is only one way to reach the clearing from the watering hole </li></ul>1 1 1 1 The Clearing Watering Hole Therefore: P (passing hole)= (56)(1) 462 P (passing hole)= 56 462 = 4 33
    29. 29. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul><ul><li>The amount of time it will take to cross the jungle </li></ul>
    30. 30. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>Since Ajani is only going North or East to save time it is not possible for him to pass both the wolves den AND the watering hole </li></ul>
    31. 31. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>Since Ajani is only going North or East to save time it is not possible for him to pass both the wolves den AND the watering hole </li></ul><ul><li>Therefore: </li></ul><ul><li>the P (passing den and hole) = 0 </li></ul>
    32. 32. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul><ul><li>The amount of time it will take to cross the jungle </li></ul>
    33. 33. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul>
    34. 34. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul><ul><li>Since he knows the number of ways that pass the wolves den and watering hole he can subtract that from the total number of paths to the clearing to calculate the number of paths that don’t bypass the wolves den or watering hole </li></ul>
    35. 35. 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul><ul><li>Number of paths that pass the wolves den: </li></ul><ul><li>Number of paths that pass the watering hole: </li></ul>P (passing den)= 84 462 P (passing hole)= 56 462
    36. 36. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul><ul><li>Number of paths that pass the wolves den: </li></ul><ul><li>Number of paths that pass the watering hole: </li></ul>1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability P (passing den)= 84 462 P (passing hole)= 56 462 Total number of paths passing both the watering hole and wolves den= 84 462 + 56 462
    37. 37. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul>1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability Total number of paths passing both the watering hole and wolves den= 84 462 + 56 462 = 140 462
    38. 38. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul>1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability Total number of paths passing both the watering hole and wolves den= 84 462 + 56 462 = 140 462 Number of paths that won’t bypass the wolves den and watering hole= 462 462 140 462 -
    39. 39. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul>1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability Number of paths that won’t bypass the wolves den and watering hole= 462 462 140 462 - = 322 462
    40. 40. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul>1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability Number of paths that won’t bypass the wolves den and watering hole= 462 462 140 462 - = 322 462 Therefore, Ajani could take 322 different ways that would not pass the Wolves Den or Watering Hole.
    41. 41. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>How many different paths he can take that won’t bypass the wolves den and watering hole </li></ul>1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 3 6 10 10 15 15 20 35 35 21 28 21 56 56 70 126 126 252 462 84 210 Eagle Rock The Clearing Watering Hole Wolves Den Solving for Probability Number of paths that won’t bypass the wolves den and watering hole= 462 462 140 462 - = 322 462 Therefore, Ajani could take 322 different ways that would not pass the Wolves Den or Watering Hole. The probability of ways he could take that would not pass either place would be: P (passing neither )= 322 462 = 23 33
    42. 42. <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The probability he would pass the Wolves Den </li></ul><ul><li>The probability he would pass the watering hole </li></ul><ul><li>The probability he would pass both the wolves den and watering hole </li></ul><ul><li>How many different paths he could take that wouldn’t bypass the wolves den and watering hole </li></ul><ul><li>The amount of time it will take to cross the jungle </li></ul>Solving for Distance and Time Eagle Rock The Clearing
    43. 43. Solving for Distance and Time <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The amount of time it would take to cross the jungle </li></ul><ul><li>Ajani drew his grid so that every line segment would represent 5m </li></ul>Eagle Rock The Clearing 5m 5m
    44. 44. Solving for Distance and Time <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The amount of time it would take to cross the jungle </li></ul><ul><li>Ajani drew his grid so that every line segment would represent 5m </li></ul><ul><li>From Eagle Rock to the Clearing on any given path is 11 line segments. </li></ul>Eagle Rock The Clearing 5m 5m
    45. 45. Solving for Distance and Time <ul><li>What Ajani wanted to know was: </li></ul><ul><li>The amount of time it would take to cross the jungle </li></ul><ul><li>Ajani drew his grid so that every line segment would represent 5m </li></ul><ul><li>From Eagle Rock to the Clearing on any given path is 11 line segments. </li></ul><ul><li>Therefore: </li></ul><ul><li>11 line segments (5m)= 55m </li></ul><ul><li>The distance from Eagle Rock to the Clearing is 55m. </li></ul>Eagle Rock The Clearing 5m 5m
    46. 46. Solving for Distance and Time The distance from Eagle Rock to the Clearing is 55m. If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Eagle Rock The Clearing 5m 5m
    47. 47. Solving for Distance and Time The distance from Eagle Rock to the Clearing is 55m. If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Ajani’s pace: Distance to Clearing 0.25km 55m 60 min time Eagle Rock The Clearing 5m 5m First the 55m needs to be converted to km by dividing by 1000. 55m=0.055km
    48. 48. Solving for Distance and Time The distance from Eagle Rock to the Clearing is 55m. If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Ajani’s pace: Distance to Clearing 0.25km 0.055km 60 min time Eagle Rock The Clearing 5m 5m By cross multiplying and dividing time can be calculated: (60 minutes)(0.055m)=(0.25km)(time) (60minutes)(0.055m)=time 0.25km
    49. 49. Solving for Distance and Time The distance from Eagle Rock to the Clearing is 55m. If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Ajani’s pace: Distance to Clearing 0.25km 0.055km 60 min time Eagle Rock The Clearing 5m 5m By cross multiplying and dividing time can be calculated: (60 minutes)(0.055m)=(0.25km)(time) (60minutes)(0.055m)=time 0.25km Time=13.2 minutes
    50. 50. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes
    51. 51. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes The number of seconds: 1 minute 0.2 minutes 60 seconds seconds
    52. 52. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes The number of seconds: 1 minute 0.2 minutes 60 seconds seconds Cross multiply and divide to find the number of seconds:
    53. 53. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes The number of seconds: 1 minute 0.2 minutes 60 seconds seconds Cross multiply and divide to find the number of seconds: (0.2minutes)(60seconds)=(1 minute)(seconds) (0.2minutes)60seconds)=Seconds 1 minute
    54. 54. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes The number of seconds: 1 minute 0.2 minutes 60 seconds seconds Cross multiply and divide to find the number of seconds: (0.2minutes)(60seconds)=(1 minute)(seconds) (0.2minutes)60seconds)=Seconds 1 minute Seconds=12
    55. 55. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes 0.2 minutes=12 seconds Therefore the amount of time it will take Ajani to cross the jungle at 0.25km/h is 13 minutes and 12 seconds approximately.
    56. 56. Solving for Distance and Time Eagle Rock The Clearing 5m 5m If Ajani walks at a pace of 0.25km per hour how long in minutes and seconds will it take him to reach the Clearing? Time=13.2 minutes 0.2 minutes=12 seconds Therefore the amount of time it will take Ajani to cross the jungle at 0.25km/h is 13 minutes and 12 seconds approximately. The amount it would take to go to the clearing and back to eagle rock would be 26 minutes and 24 seconds since it would be twice the amount of time it took to get to the clearing.

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