SOLUTION: Rental Company A charges $12.00 plus 80 cents per hour to rent a paint sprayer. A competitor, Rental company B rents the same sprayer for $3.95 plus $1.50 per hour.
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Question 166582: Rental Company A charges $12.00 plus 80 cents per hour to rent a paint sprayer. A competitor, Rental company B rents the same sprayer for $3.95 plus $1.50 per hour.
Write an algebraic equation for the cost in terms of the number of hours rented for each business.
Determine algebraically the number of hours for which the cost of renting a paint sprayer will be the same for company A or B. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Rental Company A charges $12.00 plus 80 cents per hour to rent a paint sprayer. A competitor, Rental company B rents the same sprayer for $3.95 plus $1.50 per hour.
Write an algebraic equation for the cost in terms of the number of hours rented for each business.
Determine algebraically the number of hours for which the cost of renting a paint sprayer will be the same for company A or B
.
Let h = number of hours rented
.
Company A:
C(h) = 12 + .80h
.
Company B:
C(h) = 3.95 + 1.50h
.
To find out when the cost will be the same, set it equal to each other and solve for 'h':
12 + .80h = 3.95 + 1.50h
12 = 3.95 + .70h
8.05 = .70h
11.5 hours = h
