Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $16 plus $7 per hour. Darlene's Dog Sitting charges $20 plus $5 per hour.
Part 1 out of 2
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 equation is
The total cost will be the same for the two services at
hours.

both services will cost the same if it is for 3 hours service.

Step-by-step explanation: Hope this helps.

Define x: Let x be the number of hours

Derrick Dogs sitting:

Fixed charged=$12

Hourly change=$5

Total charge=12+5x

Darlene dog sitting:

Fixed charged=$18

Hourly change=$3

Total charge= 18+3x

Find the total number of hours so that both cost are the same:

12 + 5x = 18 + 3x

5x - 3x = 18 - 12

2x = 6

x = 3

ANSWER: both services will cost the same if it is for 3 hours service

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step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.