Evaluating and Solving Rational Functions Mr. Ewald decides to make and sell maple cutting boards as a side business. The function below gives the average cost (in dollars) per cutting board when x cutting boards are produced. A(x) 10x + 450 x Use the function to answer the following questions. Determine A(12), and complete the sentence explaining the meaning of your answer. Round your answer to the nearest cent. The average cost to produce 12 maple cutting boards is $ How many cutting boards must be produced in order to reduce the average cost to $16 each? To reduce the average cost to produce each cutting board down to 16, cutting boards must be produced. Give the equation of the horizontal asymptote of A(x) Horizontal Asymptote: Select a sentence to explain its significance in this situation. Select an answer As the number of cutting boards approaches infinity, the cost per cutting board approaches $10 As the number of cutting boards approaches zero, the cost per cutting board approaches infinity As the number of cutting boards approaches infinity, the average cost per cutting board approaches $0 As the number of cutting boards approaches zero, the cost per cutting board approaches $10 As the number of cutting boards approaches zero, the cost per cutting board approaches $0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 42PS
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Evaluating and Solving Rational Functions
Mr. Ewald decides to make and sell maple cutting boards as a side business. The function below
gives the average cost (in dollars) per cutting board when x cutting boards are produced.
A(x) =
=
10x + 450
x
Use the function to answer the following questions.
Determine A(12), and complete the sentence explaining the meaning of your answer. Round your
answer to the nearest cent.
The average cost to produce 12 maple cutting boards is $
How many cutting boards must be produced in order to reduce the average cost to $16 each?
To reduce the average cost to produce each cutting board down to 16,
cutting boards must be produced.
Give the equation of the horizontal asymptote of A(x)
Horizontal Asymptote:
Select a sentence to explain its significance in this situation.
Select an answer
As the number of cutting boards approaches infinity, the cost per cutting board approaches $10
As the number of cutting boards approaches zero, the cost per cutting board approaches infinity
As the number of cutting boards approaches infinity, the average cost per cutting board approaches $0
As the number of cutting boards approaches zero, the cost per cutting board approaches $10
As the number of cutting boards approaches zero, the cost per cutting board approaches $0
Transcribed Image Text:Evaluating and Solving Rational Functions Mr. Ewald decides to make and sell maple cutting boards as a side business. The function below gives the average cost (in dollars) per cutting board when x cutting boards are produced. A(x) = = 10x + 450 x Use the function to answer the following questions. Determine A(12), and complete the sentence explaining the meaning of your answer. Round your answer to the nearest cent. The average cost to produce 12 maple cutting boards is $ How many cutting boards must be produced in order to reduce the average cost to $16 each? To reduce the average cost to produce each cutting board down to 16, cutting boards must be produced. Give the equation of the horizontal asymptote of A(x) Horizontal Asymptote: Select a sentence to explain its significance in this situation. Select an answer As the number of cutting boards approaches infinity, the cost per cutting board approaches $10 As the number of cutting boards approaches zero, the cost per cutting board approaches infinity As the number of cutting boards approaches infinity, the average cost per cutting board approaches $0 As the number of cutting boards approaches zero, the cost per cutting board approaches $10 As the number of cutting boards approaches zero, the cost per cutting board approaches $0
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