A clothing business finds there is a linear relationship between the number of s

Question

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 2000 shirts can be sold at a price of $ 51, while 8000 shirts can be sold at a price of $ 21. 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 your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.

Explanation / Answer

(2000,51) ( 8000,21)

slope = 21- 51 / 8000-2000= -30 /6000 = -1/200

y-51 = -1/200(x-2000)

200y- 10200 = -x + 2000

200y= -x + 12200

y = -0.005x + 61

p = -0.005n + 61

thus ans

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