Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Write a function rule that represents each sentence.

8. y is 5 less than the product of 4 and x.
9. C is 8 more than half of n.
10. 7 less than three fifths of b is a.
11. 2.5 more than the quotient of h and 3 is w.

Write a function rule that represents each situation.

12. Wages A worker's earnings e are a function of the number of hours n worked at a rate of $8.75 per hour.
13. Pizza The price p of a pizza is $6.95 plus $.95 for each topping t on the pizza.

14. Weight Loads The load L, in pounds, of a wheelbarrow is the sum of its own 42-lb weight and the weight of the bricks that it carries, as shown below.

    

    The wheelbarrow holds n 4-lb bricks.

    See Problem 2.

15. Baking The almond extract a remaining in an 8-oz bottle decreases by 1 6 1 sixth  oz for each batch b of waffle cookies made.
16. Aviation A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter's height h above the ground as a function of time t. What is the helicopter's height after 45 s?
17. Diving A team of divers assembles at an elevation of − 10  ft negative 10 , ft  relative to the surface of the water. Then the team dives at a rate of − 50  ft/min . negative 50 , ftslashmin , .  Write a rule that represents the team's depth d as a function of time t. What is the team's depth after 3 min?
18. Publishing A new book is being planned. It will have 24 pages of introduction.

    Then it will have c 12-page chapters and 48 more pages at the end. Write a rule that represents the total number of pages p in the book as a function of the number of chapters. Suppose the book has 25 chapters. How many pages will it have?

    See Problem 3.

19. Write a function rule for the area of a triangle with a base 3 cm greater than 5 times its height. What is the area of the triangle when its height is 6 cm?

20. Write a function rule for the volume of the cylinder shown below with a height 3 in. more than 4 times the radius of the cylinder's base. What is the volume of the cylinder when it has a radius of 2 in.?

    

21. Write a function rule for the area of a rectangle with a length 2 ft less than three times its width. What is the area of the rectangle when its width is 2 ft?

B Apply

22. Open-Ended Write a function rule that models a real-world situation. Evaluate your function for an input value and explain what the output represents.

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