Name _______________________

4.3. Graphing Proportional Relationships

Answer the questions.

1. Make a table for the function y = 1.5 x when x = 2,4,6, and 8. Then make a graph.

2. Given the table below, determine the direct variation function and then graph.

3. If y = 40.5 when x = 4.5, determine the constant of proportionality (k) and write the direct variation equation.

4. If y = 31.5 when x = 9, determine constant of proportionality (k) and write the direct variation equation.

Use the given  and  values to write a direct variation equation and find  given that .

5.

6.

7.

8.

Solve the following word problems using a direct variation equation.

 9. Based on her weight and pace, Kate burns 586 calories when she runs five miles. How many calories will she burn if she runs only three miles? How many miles (to the nearest mile) does she need to run each week if she wants to burn one pound (3500 calories) of body fat each week?

10. One a road trip, Mark and Bill cover 450 miles in eight hours, including stops. If they maintain the same pace, how far (to the nearest mile) will they be from their starting point after 15 hours of driving?

11. About three hours into a fundraising car wash, the Mathletes Club earned $240 washing 48 cars. How much was charged for each carwash? How many more cars will they have to wash to reach their goal of earning $400?

12. Dorothy earned $900 last week for working 36 hours. What is her hourly wage? If she works full time (40 hours) in a week how much will she make?