Question

Happy Paws charges $16.00 plus $2.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $3.75 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.

Answer 1

Equation: 2.5x + 16 = 3.75x + 11

Hours: 4

Explanation:

Hi,

The equation would be...

2.5x + 16 = 3.75x + 11

(To find the solution, you have to set the equations equal to each other)

2.5x is the cost per hour at Happy Paws and the 16 is the charge. For Woof Watchers, the 3.75x is the cost per hour and the 11 is the charge.

Now solve...

2.5x + 16 = 3.75x + 11

Subtract 16 on both sides...

2.5x = 3.75x - 5

Subtract 3.75x on both sides...

-1.25x = -5

Divide by -1.25 on both sides...

x = 4

So at 4 hours, both services will have an equal total of cost.

Hope this helps :)