The Scott family is trying to save money on groceries. They found that strawberries are cheaper per pound at Baldwin Hills Market than at Grocery Mart. Potatoes are also a better deal per pound at Grocery Mart. The document provides examples and practice problems for converting between rates and ratios using various scenarios about swimming speeds, typing rates, and apple prices to help students understand equivalent ratios.
Work the following math problem Question 1Duke takes a car i.docxdunnramage
Work the following math problem
Question 1
Duke takes a car in for basic service. The service agent says a few extra repairs are needed, so Duke adds the cost of those repairs mentally, rounding to the nearest 10. What is Duke's total estimate for the repairs? The costs are as follows:
Wheel alignment: $82
Transmission fluid flush: $157
Cabin air filter: $58
Note
: 4 or less rounds down, 5 or more rounds up. For example, 14 becomes 10, while 15 becomes 20.
A. 280 B. 290 C. 300 D. 310
Question 2
Many gas stations give a discount for using cash instead of a credit card. A gas station gives a discount of 10 cents per gallon. William plans to pump 14 gallons. How much will William save by paying cash instead of credit card? A. 10 cents B. 24 cents C. 100 cents D. 140 cents
Question 3
A new company president is said to have caused the company "to do a 180." Before the new president, the company was losing money. What is the company most likely doing under the new president? A. Losing a lot more money B. Losing a little more money C. Losing the same amount of money D. Making money rather than losing
Question 4
Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will travel the furthest distance. How should Mo release the ball for the furthest travel? A. Nearly straight ahead, parallel to the ground B. About halfway between straight ahead and straight up C. About 2/3 of the way straight up D. Nearly straight up, directly above his head
Question 5
One rule of thumb in the fast-food restaurant business is a "4 times markup": The price of a food item should be four times the price of the ingredients used in making the item. If the cost of ingredients used in making a taco is 1.5 dollars, what should be the price of the taco? A. 6 dollars B. 7.5 dollars C. 5.5 dollars D. 4 dollars
Question 6
Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return has Alex received? A. 50% B. 80% C. 25% D. 11%
Question 7
Travel Ez sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip, Sophie exchanged $540 to get 300 euros. At the end of the trip she is left with 40 euros, so she exchanges the 40 euros back to dollars. How many dollars will Sophie get in exchange? A. $72 B. $22 C. $56 D. $28
Question 8
Ryan remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, 4 is a kite, etc. Ryan remembered a 4-digit phone extension with this story: A person uses a hanger to pop a ball, then flies two kites. What number is Ryan likely remembering? A. 2,044 B. 2,042 C. 2,004 D. 220
Question 9
Convert 2 3/4 to a decimal number. A. 0.75 B. 1.50 C. 2.3 D. 2.75
Question 10
Consider a cookie recipe in which 1 1/2 cups of chocolate chip.
Work the following math problem Question 1Duke takes a car i.docxdunnramage
Work the following math problem
Question 1
Duke takes a car in for basic service. The service agent says a few extra repairs are needed, so Duke adds the cost of those repairs mentally, rounding to the nearest 10. What is Duke's total estimate for the repairs? The costs are as follows:
Wheel alignment: $82
Transmission fluid flush: $157
Cabin air filter: $58
Note
: 4 or less rounds down, 5 or more rounds up. For example, 14 becomes 10, while 15 becomes 20.
A. 280 B. 290 C. 300 D. 310
Question 2
Many gas stations give a discount for using cash instead of a credit card. A gas station gives a discount of 10 cents per gallon. William plans to pump 14 gallons. How much will William save by paying cash instead of credit card? A. 10 cents B. 24 cents C. 100 cents D. 140 cents
Question 3
A new company president is said to have caused the company "to do a 180." Before the new president, the company was losing money. What is the company most likely doing under the new president? A. Losing a lot more money B. Losing a little more money C. Losing the same amount of money D. Making money rather than losing
Question 4
Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will travel the furthest distance. How should Mo release the ball for the furthest travel? A. Nearly straight ahead, parallel to the ground B. About halfway between straight ahead and straight up C. About 2/3 of the way straight up D. Nearly straight up, directly above his head
Question 5
One rule of thumb in the fast-food restaurant business is a "4 times markup": The price of a food item should be four times the price of the ingredients used in making the item. If the cost of ingredients used in making a taco is 1.5 dollars, what should be the price of the taco? A. 6 dollars B. 7.5 dollars C. 5.5 dollars D. 4 dollars
Question 6
Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return has Alex received? A. 50% B. 80% C. 25% D. 11%
Question 7
Travel Ez sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip, Sophie exchanged $540 to get 300 euros. At the end of the trip she is left with 40 euros, so she exchanges the 40 euros back to dollars. How many dollars will Sophie get in exchange? A. $72 B. $22 C. $56 D. $28
Question 8
Ryan remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, 4 is a kite, etc. Ryan remembered a 4-digit phone extension with this story: A person uses a hanger to pop a ball, then flies two kites. What number is Ryan likely remembering? A. 2,044 B. 2,042 C. 2,004 D. 220
Question 9
Convert 2 3/4 to a decimal number. A. 0.75 B. 1.50 C. 2.3 D. 2.75
Question 10
Consider a cookie recipe in which 1 1/2 cups of chocolate chip.
1. Module 1 Lesson 17 From Rates to Ratios.notebook
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October 16, 2014
Lesson 16 Problem Set
The Scott family is trying to save as much money as possible. One way to cut back on the money
they spend is by finding deals while grocery shopping; however, the Scott family needs help
determining which stores have the better deals.
1. At Grocery Mart, strawberries cost $2.99 for 2lbs., and at Baldwin Hills Market strawberries are
$3.99 for 3 lbs.
a. What is the unit price of strawberries at each grocery store? If necessary, round to the
nearest penny.
Grocery Mart: $1.50 per pound (rounded to nearest penny)
Baldwin Hills Market: $1.33 per pound
b. If the Scott family wanted to save money, where should they go to buy strawberries? Why?
The Scott family should got to Baldwin Hills Market because the strawberries cost $0.27 less than
at Grocery Mart.
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October 16, 2014
2. Potatoes are on sale at both Grocery Mart and Baldwin Hills Market. At Grocery Mart, a 5lb bag of
potatoes cost $2.85 and at Baldwin Hills Market a 7 lbs bag of potatoes costs $4.20. Which store offers
the best deal on potatoes? How do you know? How much better is the deal?
Grocery Mart: $0.57 per pound
Baldwin Hills Market: $0.60 per pound
Grocery Mart offers the best deal on potatoes because potatoes cost $0.03 less per pound at Grocery
Mart when compared to Baldwin Hills Market.
3. Module 1 Lesson 17 From Rates to Ratios.notebook
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October 16, 2014
Module 1
Ratios and Unit Rates
Topic C: Collections of Equivalent Ratios
Lesson 17: From Rates to Ratios
Student Outcomes
§ Given a rate, students find ratios associated with the rate, including a ratio
where the second term is one and a ratio where both terms are whole
numbers.
§ Students recognize that all ratios associated to a given rate are equivalent
because they have the same value.
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October 16, 2014
Given a rate, you can calculate the unit rate and associated ratios. Recognize that all ratios associated
to a given rate are equivalent because they have the same value.
Classwork
Example 1
Write each ratio as a rate.
a. The ratio of miles to hours is 434 to 7. b. The ratio of laps to minutes is 5 to 4.
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Example 2
a. Complete the model below using the ratio from Example 1, part (b).
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b. Complete the model below now using the rate listed below.
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Examples 3–6
3. Dave can clean pools at a constant rate of pools/hour.
a. What is the ratio of pools to hours?
35
b. How many pools can Dave clean in 10 hours?
c. How long does it take Dave to clean 15 pools?
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4. Emeline can type at a constant rate of pages/minute.
a. What is the ratio of pages to minutes?
b. Emeline has to type a 5page
article but only has 18 minutes until she reaches the deadline. Does
Emeline have enough time to type the article? Why or why not?
c. Emeline has to type a 7page
article. How much time will it take her?
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53
5. Xavier can swim at a constant speed of meters/second.
a. What is the ratio of meters to seconds?
b. Xavier is trying to qualify for the National Swim Meet. To qualify, he must complete a 100 meter
race in 55 seconds. Will Xavier be able to qualify? Why or why not?
c. Xavier is also attempting to qualify for the same meet in the 200 meter event. To qualify, Xavier
would have to complete the race in 130 seconds. Will Xavier be able to qualify in this race? Why or
why not?
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6. The corner store sells apples at a rate of 1.25 dollars per apple.
a. What is the ratio of dollars to apples?
b. Akia is only able to spend $10 on apples. How many apples can she buy?
c. Christian has $6 in his wallet and wants to spend it on apples. How many
apples can Christian buy?
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Closing
Please take out your exit ticket for Lesson 17, close your
binder, and complete the exit ticket. This will be collected.
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