A manufacturing company finds that they can sell 300 items at $3.50 per item and 500 items at $ 1.50 $1.50 per item. If the relationship between the number of items sold x x and the price per item p p is a linear one:

Question

A manufacturing company finds that they can sell  300 items at  $3.50 per item and 500 items at $ 1.50 $1.50 per item. If the relationship between the number of items sold x x and the price per item p p is a linear one:
Find a formula that gives x in terms of p(x)=
 Now use the formula to find the number of items they will if the price per item is $2.50.

Reiny · Answer

You have two ordered pairs, (300 , 3.5) and (500 , 1.5) find the slope m and use the equation, p = mx + b