A clothing business finds there is a linear relationship between the number of shirts,n,it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 6000 shirts can be sold at a price of $118, while 30000 shirts can be sold at a price of $46. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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A clothing business finds there is a linear relationship between the number of shirts,n,it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 6000 shirts can be sold at a price of $118, while 30000 shirts can be sold at a price of $46. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts.

Answer: p=

 

Round the value of the slope to three decimal places.

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