A manufacturing company finds that they can sell 375 items at $2.50 per item and 225 items at $3.50 per item. If the relationship between the number of items sold x and the price per item p is a linear one:

Question

Find a formula that gives x in terms of p: x=

Now use the formula to find the number of items they will sell if the price per item is $1.50.
They will sell items if the price is $1.50.

Answer 1

for every $1 price increase, sales decrease by 150. So,

Now you can use the point-slope form of the line:

x-375 = -150(p-2.50)
x = 750 - 150p

Answer 2

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