Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Graph each function rule.

9. y = x − 3 y equals x minus 3
10. y = 2 x + 5 y equals 2 x plus 5
11. y = 3 x − 2 y equals 3 x minus 2
12. y = 5 + 2 x y equals 5 plus 2 x
13. y = 3 − x y equals 3 minus x
14. y = − 5 x + 12 y equals negative 5 x plus 12
15. y = 10 x y equals 10 x
16. y = 4 x − 5 y equals 4 x minus 5
17. y = 9 − 2 x y equals 9 minus 2 x
18. y = 2 x − 1 y equals 2 x minus 1
19. y = 3 4 x + 2 y equals , 3 fourths , x plus 2
20. y = − 1 2 x + 1 2 y equals negative , 1 half , x plus , 1 half

See Problems 2 and 3.

Graph each function rule. Explain your choice of intervals on the axes of the graph. Tell whether the graph is continuous or discrete.

21. Beverages The height h, in inches, of the juice in a 20-oz bottle depends on the amount of juice j, in ounces, that you drink. This situation is represented by the function rule h = 6 − 0.3 j . h equals 6 minus 0.3 j .
22. Trucking The total weight w, in pounds, of a tractor-trailer capable of carrying 8 cars depends on the number of cars c on the trailer. This situation is represented by the function rule w = 37 , 000 + 4200 c . w equals 37 comma 000 plus , 4200 , c .
23. Food Delivery The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. This situation is represented by the function rule C = 5 + 9 p . c equals 5 plus 9 p .

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