Question

Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $10.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answer 1

Hours are equal: 7.2

Cost of service are equal: 51.4

Explanation:

Happy Paws:

y = 4.5h + 19

Woof Watchers:

y = 5.75h + 10

To solve for the hours are equal:

y = 4.5h + 19

y = 5.75h + 10 (Multiply by -1)

y = 4.5h + 19

-y = -5.75h - 10

0 = -1.25h + 9

-9 = -1.25h

h = 7.2

To solve for when the services are equal:

y = 4.5h + 19

y = 4.5(7.2) + 19

y = 32.4 + 19

y = 51.4