Astore charges $13.75 for 5 boxes of cookies. a second store charges $9.00 for 4 boxes of cookies, but you have to buy a gallon of milk for $1.50 to get that deal.
**write the cost model equations for both stores, and find the number of boxes of cookies that makes the costs equal.**

The number of boxes of cookies that makes the costs equal is 3

Step-by-step explanation:

A store charges $13.75 for 5 boxes of cookies. This means the charge per cookie is 13.75/5 = $2.75

Therefore, for x cookies, the store charges 2.75 × x = $2.75x

A second store charges $9.00 for 4 boxes of cookies. This means the charge per cookie is 9/4 = $2.25

Therefore, for x cookies, the store charges 2.25 × x = $2.25x but you have to buy a gallon of milk for $1.50 to get that deal.

This means that at the second store, the charge for x cookies will be

2.25x + 1.50. Therefore, the cost model equations for both boxes are

Cost of x boxes cookies at first store, C(x)= $2.75x

Cost of x boxes of cookies at second store, C(x) = 2.25x + 1.50

To find number of boxes of cookies that make both costs equal,

2.75x = 2.25x + 1.50

2.75x - 2.25x = 1.50

0.5x = 1.5

x = 1.5/0.5 = 3

y -5 = (-1/4)(x + 8)

step-by-step explanation: