Question

Happy Paws charges $20.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 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

h = 7.2 hours

Explanation:

Let

h = the number of hours.

Happy Paws

$20 + $4.50 per hour

= 20 + 4.50h

Woof Watchers

$11 + $5.75 per hour

= 11 + 5.75h

Complete the equation and solve it to find for how many hours the total cost of the services is equal.

Equate the cost of both services

20 + 4.50h = 11 + 5.75h

Collect like terms

20 - 11 = 5.75h - 4.50h

9 = 1.25h

Divide both sides by 1.25

h = 9 / 1.25

= 7.2

h = 7.2 hours

The total cost of the services is equal in 7.2 hours