Question

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. In your equation, use x to represent the number of hours of dog sitting.

The total cost will be the same for the two services at _______ hours.


Which dog sitting service is more economical to use if you need 8 hours of service? Complete the explanation.



Step 1 out of 9:
Part 1 of 2
Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $10 plus $9 per hour. Darlene's Dog Sitting charges $20 plus $7 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.
Write an expression representing the total cost of getting dog sitting from Derrick's Dog Sitting.
Initial fee + Cost for x hours
10 + ______x

Answer 1

Derricks Dog sitting is more economical.

Explanation:

When you multiply 8 by 7, you get 56. Add 20, and the answer is 76. Do the same for Derricks dog service, and the same thing happens.

Answer 2

Answer: 5x + 10 = 3x + 16

2x = 6 x = 3