1 Answer

Istvan Heckl · Answer 1 · 2020-03-27T15:28:59+0000

Answer: p = -0.004n + 8

Explanation:

Consider the number of shirts & the price as an x,y - coordinate

4000 shirts at $32 --> (4000, 32)

5000 shirts at $28 --> (5000, 28)

Use the slope formula:
m=(y_2-y_1)/(x_2-x_1)

$m=(28-32)/(5000-4000)\quad =(-4)/(1000)\quad =-0.004$

Next, use the Point-Slope formula (replace x with n & replace y with p):

$y-y_1=m(x-x_1)\implies p-p_1=m(n-n_1)\\\\\\p-28=-0.004(n-5000)\\\\p-28=-.004n-20\\\\\large\boxed{p=-0.004n+8}$

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