Problema Solution

A vendor has learned that, by pricing pretzels at $1.75, sales will reach 119 pretzels per day. Raising the price to $2.75 will cause the sales to fall to 79 pretzels per day. Let y be the number of pretzels the vendor sells at x dollars each. Write a linear equation that models the number of pretzels sold per day when the price is x dollars each.

Answer provided by our tutors

A vendor has learned that, by pricing pretzels at $1.75, sales will reach 119 pretzels per day. Raising the price to $2.75 will cause the sales to fall to 79 pretzels per day. Let y be the number of pretzels the vendor sells at x dollars each. Write a linear equation that models the number of pretzels sold per day when the price is x dollars each.

Solutio:

y=Ax+B

119=1.75A+B

79=2.75A+B

So

A=-40

B=189

So the equation is y=-40x+189