Happy Paws charges $19.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $4.75 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. help//

6.4 hours

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each case:

Happy paws: the cost is equal to the fixed charge (19) plus the product of the charge per hour (3.50) and the number of hours (h).

Happy Paws Cost = 19+3.50h

Woof Watchers: the cost is equal to the fixed charge (11) plus the product of the charge per hour (4.75) and the number of hours (h).

Woof Watcher Cost = 11+ 4.75h

Since both costs must be equal:

Happy Paws Cost =Woof Watcher Cost

So:

19+3.50h = 11+ 4.75h

Solving for h:

19-11 = 4.75h-3.50h

8 = 1.25h

8/1.25 =h

h = 6.4 hours