5. Can You See the Pattern? 48 60 36 45 24 30 12 15 Tickets Money
6. What’s the Function? The equation of this line is: y = .8x The function of the line is: f(x) = .8x The points make a pattern: A line This line has a slope : It is positive Two points helps us find the slope and the equation of the line. The equation of a line looks like this: y = mx + b
7. Are You Sure It’s a Function? A specific amount of money will buy me the same number of tickets each time. Money & Tickets In this example, the relationship between money and tickets follows a line. In other words: f(x) = .8x A function does something : The number of dollars times .8 gives the number of tickets. A Pattern A Condition Two Groups Function
8. How is a function useful? I can determine the number of tickets I would get for any given amount of money. 10 dollars can buy me 8 tickets x = 10 .8(10) y = 8 f(x) = .8x f(10) = .8(10) f(10) = 8
9. Key Question: How do functions help us uncover patterns in the relationship? Relationships become clearer when we look for patterns between two things. We can uncover these relationships by looking for patterns in numbers to help us create graphs which help us develop equations . We can then generalize about those relationships using functions.
