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,

8.8 hours

Step-by-step 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= --- equation 1

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

Total cost of service= --- equation 2

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

∴

Solving the equation now to find number of hour.

⇒

Subtracting both side by 2.5h

⇒

Subtracting both side by 9

⇒

Dividing both side by 1.25

⇒

∴

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