How do you construct a function to model a scenario?

1. How do you construct a function to model a scenario? A wild animal park opens with 100 antelope and the population grows 5 antelope per year.

2. In this lesson you will learn how to construct a linear function by calculating the slope and y-intercept given any representation.

3. A linear function has a constantrate of change (slope) and an initial value (y-intercept). 1 1 - 0 5 - 2 3 Every x is tripled, then increased by 2. y = 3x + 2

4. The cost (C) for a cell phone plan is $30 for a month for unlimited minutes. Incorrect, this would indicate an infinite cost for 30 minutes of use (slope is not defined). Correct, cost is $30 for any amount of minutes (slope is 0).

5. A wild animal park opens with 100 antelope and the population grows by 5 antelope every year. Y-intercept Slope y = 100 + 5x

6. y = + x 1 – 0 1 105 - 100 5 Y-intercept 5 1 Slope = 5 100 5

7. y = + x Slope = 5 10 Y-intercept 10 2 2 100 5

8. In this lesson you have learned how to construct a linear function by calculating the slope and y-intercept given any representation.

9. Construct a linear function using the graph provided below.

10. Construct a linear function for each of the given representations. • Multiply x by 0.6 and add 7

11. Write a linear function for this scenario. Make a table or a graph to help before you write it. • Parking Costs • up to 1 hour . . . . $3 • each additional • hour . . . $1.50

12. Jordan’s movie rental company charges a monthly fee of $5.00 plus an additional cost of $1.25 per movie rental. Which of these equations represents the total monthly cost (c) of renting (x) movies? C = 1.25x + 5.00 C = 3.75x + 5.00 C = 5.00x + 1.25 C = 5.00x + 3.75

13. Which is the graph of y = -3x + 5 ?