Final answer:
To find the equation that expresses the total cost of the services in terms of the number of hours, set up the equation and solve for h. The total cost of the services will be equal when the number of hours is 7.2.
Step-by-step explanation:
To find the equation that expresses the total cost of the services in terms of the number of hours, we can set up the following equation:
Happy paws: Total cost = $19 + $5.50 * h
Woof watches: Total cost = $10.00 + $6.75 * h
To find the number of hours where the total cost of the services is equal, we can set the two equations equal to each other:
$19 + $5.50 * h = $10.00 + $6.75 * h
Now, we can solve for h:
$19 - $10.00 = $6.75 * h - $5.50 * h
$9 = $1.25 * h
h = $9 / $1.25
h = 7.2
Therefore, the total cost of the services will be equal when the number of hours is 7.2.