Question

Happy Paws charges $18.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $12.00 plus $5.75 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. The equation is . The total cost of the services will be equal at hours.

HELP ME PLEASE!

Answer 1

This is just a basic mathematical function in which 18.00$ is the starting cost of Happy Paws service and they charge 4.50$ an hour, and we can represent this with
`18.00$ + 4.50h = C`.

C is the total cost and h represents the number of hours that took place.

Now looking at Woof Watchers, the starting cost is 12.00$ and they charge 5.75$ an hour, we can also represent this with the equation
`12.00 +5.75h=C`.

Now we can figure out the answer the long way or the short way.

The short way is a lot more simple, so I will use that.

The short way is plugging these equations into a graphing calculator.

After that, the number of hours they both babysit to have equal total costs is 4.8 hours or 4 hours and 48 minutes, and the total cost for both services after 4.8 hours will be approximately 40$ or to be exact, 39.60$