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 mc001-1.jpg. Evaluate mc001-2.jpg for mc001-3.jpg and mc001-4.jpg, and describe what the values of the function represent.
a.
mc001-5.jpg; mc001-6.jpg.
mc001-7.jpg represents the cost, $15.24, of delivering flowers to a destination that is 6 miles from the shop.
mc001-8.jpg represents the cost, $22.09, of delivering flowers to a destination that is 11 miles from the shop.
b.
mc001-9.jpg; mc001-10.jpg.
mc001-11.jpg represents the cost, $62.04, of delivering flowers to a destination that is 6 miles from the shop.
mc001-12.jpg represents the cost, $179.39, of delivering flowers to a destination that is 11 miles from the shop.
c.
mc001-13.jpg; mc001-14.jpg.
mc001-15.jpg represents the cost, $23.43, of delivering flowers to a destination that is 6 miles from the shop.
mc001-16.jpg represents the cost, $49.62, of delivering flowers to a destination that is 11 miles from the shop.
d.
mc001-17.jpg; mc001-18.jpg.
mc001-19.jpg represents the cost, $22.09, of delivering flowers to a destination that is 6 miles from the shop.
mc001-20.jpg 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 es001-1.jpg

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 es002-1.jpggives 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.
 



 
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