Question

6) Happy Paws charges $20.00 plus $2.50 per hour to keep a dog during the day

Woof Watchers charges $9.00 plus $3.75 per hour, Write an 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

8.8 hours

Explanation:

Given: Happy Paws charges $20.00 plus $2.50 per hour to keep a dog.

Woof Watchers charges $9.00 plus $3.75 per hour.

Lets assume the number of hours service provided be "h".

First, writing an equation for Happy paws cost for service.

Total cost of service=
`\$ 2.5* h+ \$ 20`--- equation 1

Second, writing an equation for Woof watchers cost of services.

Total cost of service=
`\$ 3.75* h+ \$9`--- equation 2

Now, finding number of hours services provided, when cost of service will be equal for both service provider.

∴
`2.5h+ 20= 3.75h+ 9`

Solving the equation now to find number of hour.

⇒
`2.5h+ 20= 3.75h+ 9`

Subtracting both side by 2.5h

⇒
`20= 3.75h+ 9-2.5h`

Subtracting both side by 9

⇒
`1.25h= 11`

Dividing both side by 1.25

⇒
`h= (11)/(1,25)`

∴
`h= 8.8\ hours`

Hence, 8.8 hours is the number of hours when cost of service will be equal for both service provider.