Question

Happy Paws charges $20.00 plus $5.50 per hour to keep a dog during the day. Woof Watchers charges $9.00 plus $6.75 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

Answer 1

Answer:

8.8 hours

Equation :20+5.50h = 9 + 6.75 h

Step-by-step explanation:

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

For Happy Paws the cost will be equal to the fixed cost (20) plus the product of the cost per hour (5.50) and the number of hours (h).

Happy paws cost: 20+5.50 h

Same process for Woof Watchers:

Woof Watchers cost = 9 + 6.75 h

If both costs are equal:

Happy paws cost=Woof Watchers cost

So:

20+5.50h = 9 + 6.75 h

Solving for h

20-9 = 6.75h-5.50h

11 = 1.25h

11/ 1.25 =h

8.8 = h

Feel free to ask for more if needed or if you did not understand something.  

Answer 2

Answer:

8.8 hours

Step-by-step explanation:

Happy paws cost equation

5.50h + 20

Wood watchers cost equation

6.75h + 9

Make the two equations equal

5.50h+20 = 6.75h+ 9

Collect the co-efficient of both sides.

6.75h- 5.50h= 20-9

1.25h= 11

Divide both sides by the coefficient of h

1.25h/1.25= 11/1.25

h= 8.8