Linear equation shirts cost and amount

Question

A business discovers a linear relationship between the number of shirts it can sell and the price per shirt. If the shirts cost $25 then 8,000 will be sold. But if the shirts cost $40, only 5,000 will be sold. Find a linear function that models this and predict the number of shirts that will be sold if the cost is $20.

 

 

Show work please.

Answer 1

(25, 8000), (40, 5000)

 

Use two-point form

 

(y - 8000) / x - 25) = (8000 - 5000) / (25 - 40)

 

Convert to slope-intercept form. Substitute 20 for x and answer