A manufacturing company finds that they can sell 300 items....

Question

A manufacturing company finds that they can sell  items at  per item and  items at  per item. If the relationship between the number of items sold  and the price per item  is a linear one:Find a formula that gives  in terms of : 

Now use the formula to find the number of items they will sell if the price per item is .

Answer 1

Let I = items

P = Price

then, the slope for a linear relationship is m = (400-300)/(2-2.5) = -200

I-400 = -200(P-2) or I = -200P + 800

at $1.50 per item, you can sell I = -200(1.5) + 800 = 500 items