A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)=mn+b that gives the price P they can charge for n thousand shirts. Select the correct answer below:

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CT: Test
Problem 19CT
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A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each.

Find the equation of the form P(n)=mn+b that gives the price P they can charge for n thousand shirts.

Select the correct answer below:

 
P(n)=−4n+81
 
P(n)=−2n+75
 
P(n)=−2n+65
 
P(n)=2n+47
 
P(n)=−4n+89
 
P(n)=2n+63
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