Derrick's Dog Sitting $12 plus $5 per hour

Darlene's Dog sitting $18 plus $3 per hour

write and solve an equation to find the number of hours for which the total cost will be the same for the two services.

3 hours

Step-by-step explanation:

(5*3) + 12 = $27

(3*3) + 18 = $27

Answer: 3 hours

Step-by-step explanation:

Hi, Derrick's cost is equal to its fixed cost (12) plus the price per hour (5) multiplied by the number of hours (h). Same process for Darlene's cost.

Derrick's Dog Sitting cost = 12 + 5 h

Darlene's Dog sitting cost = 18 + 3h

If both costs are equal

Derrick's Dog Sitting cost = Darlene's Dog sitting cost

So:

12 + 5 h = 18 + 3h

Solving for h:

5h-3h = 18-12

2h = 6

h = 6/2

h=3

The number of hours for which the total cost will be the same for the two services is 3.