1. Chapter 2 Linear Equations and Functions

2. Problem Solving A water park slide drops 8 feet over a horizontal distance of 24 feet. Find its positive slope.

3. The school band is selling sweatshirts and t-shirts to raise money. The goal is to raise $1200. Sweatshirts sell for a profit of $2.50 each and t- shirts for $1.50 each. Write and graph a linear model for the number of sweatshirts and t-shirts the band can sell to reach the goal.

4. In 1970 there were 160 African-American women in elected public office in the U.S. By 1993 the number had increased to 2332. Write a linear model for the number of African- American women who held elected public office at any given time between 1970 & 1993. Then use the model to predict the number of African-American women who will hold elected public office in 2010.

5. You have $15 for fresh fruit for a party. Write and graph a linear inequality in two variables for how many pounds of strawberries at $1.25 per pound and cherries at $2.40 per pound you can buy. Give 3 possible combinations of the pounds of strawberries and cherries you can purchase.

6. Shipping costs $6 on purchases up to $50, $8 on purchases over $50 up to $100, and $10 on purchases over $100 up to $200. Write a piecewise function for these charges.

7. A plane descends from 5000 feet at 250 ft/min for 6 minutes. Over the next 8 min, it descends at 150 ft/min. Write a piecewise function for the altitude A in terms of the time t. What is the plane’s altitude after 12 min?

8. You want to shoot the eight ball into the corner pocket on a pool table 10 feet long and 5 feet wide. The ball is at (2, 1); the pocket is at (10, 0). You plan to bank off the side at (6, 5). Write an equation for the path of the ball. Do you make the shot?