Answer:
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= [tex]\$ 2.5\times h+ \$ 20[/tex]--- equation 1
Second, writing an equation for Woof watchers cost of services.
Total cost of service= [tex]\$ 3.75\times h+ \$9[/tex]--- equation 2
Now, finding number of hours services provided, when cost of service will be equal for both service provider.
∴ [tex]2.5h+ 20= 3.75h+ 9[/tex]
Solving the equation now to find number of hour.
⇒ [tex]2.5h+ 20= 3.75h+ 9[/tex]
Subtracting both side by 2.5h
⇒ [tex]20= 3.75h+ 9-2.5h[/tex]
Subtracting both side by 9
⇒ [tex]1.25h= 11[/tex]
Dividing both side by 1.25
⇒[tex]h= \frac{11}{1,25}[/tex]
∴[tex]h= 8.8\ hours[/tex]
Hence, 8.8 hours is the number of hours when cost of service will be equal for both service provider.