To repair body damage on a car, Auto Body charges $125, plus $18 per hour. Car Care charges $200, plus $12 per hour. Part A. Write an equation that can be used to represent the number of hours both shops need to work so the prices are equal. Use h for hours.

Part B. Use the equation from Part A to determine the number of hours for which the two body shops will cost the same.

12.5 hrs

Step-by-step explanation:

For auto body charges, the equation will be

cost = 125 + 18 heq 1

For car care charges, the equation will be

cost = 200 +12 heq 2

for the cost to be equal,

From eq 1 and eq 2

125 + 18 h = 200 + 12h

18h - 12h = 200-125

6h = 75

h = 75/6 = 12.5 hrs

12.5 hrs both shops need to work for the prices to be equal

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)