Name:    SOL A.7E FINDING FUNCTION VALUES MINI QUIZ

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

A florist delivers flowers to anywhere in town. d is the distance from the delivery address to the florist shop in miles. The cost to deliver flowers, based on the distance d, is given by . Evaluate for and , and describe what the values of the function represent.
 a. ; . represents the cost, \$15.24, of delivering flowers to a destination that is 6 miles from the shop. represents the cost, \$22.09, of delivering flowers to a destination that is 11 miles from the shop. b. ; . represents the cost, \$62.04, of delivering flowers to a destination that is 6 miles from the shop. represents the cost, \$179.39, of delivering flowers to a destination that is 11 miles from the shop. c. ; . represents the cost, \$23.43, of delivering flowers to a destination that is 6 miles from the shop. represents the cost, \$49.62, of delivering flowers to a destination that is 11 miles from the shop. d. ; . represents the cost, \$22.09, of delivering flowers to a destination that is 6 miles from the shop. represents the cost, \$15.24, of delivering flowers to a destination that is 11 miles from the shop.

Essay

1.

The base of a cardboard box is a square with side length c centimeters. The volume of the box in cubic centimeters is given by the function

Hint: The formula for the volume of a rectangular prism is base * height
Part A:
Show how to find all of the box’s dimension given that c = 4.
Part B: Evaluate V(1), V(2), and V(3) for this function. Show your work. What do these values mean in the context of this problem?
Part C: Should the domain for this function be restricted? If not, explain why not. If so, explain why and give the restricted domain.

2.

The function gives a small company’s profit in thousands of dollars as a function of the amount of money in hundreds of dollars that the company spends on advertising.

Part A: Which value of a, 15 or 19, results in a greater value of P(a)? What does this mean in the context of the problem?
Part B: What is the relationship between the amount the company spends on advertising and the company’s profit for the values of a in Part A? Does this relationship hold for all values of a? Explain.