Question

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $12 plus $5 per hour. Darlene's Dog Sitting charges $18 plus $3 per hour. Complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services.

Answer 1

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

where $12 is fixed cost.

Darlene's Dog Sitting charges = $18 plus $3 per hour

where $18 is fixed cost.

We have to find the exact number of hours for which the COST of the two services is Same.

Let the number of Hours = x ,

Then according to the condition

12 + 5 x = 18 + 3 x

5 x - 3 x = 18 - 12

2 x = 6

x = 6/2

x = 3 hours

So for the service of 3 Hours, the cost of both will be same.

So the answer to this question is 3 HOURS.