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.
Which is an equation to find the number of hours for which the total cost will be the same for the two services?
a 12 + 5h = 18 + 3h
b 12h + 5 = 18h + 3
c 12 + 5h = 18
d 8h = 30

Answer 1

The equation to find the number of hours for which the total cost will be the same for the two services is:

12 + 5h = 18 + 3h

Solution:

Let "h" be the number of hours

Given that,

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

Cost : 12 + 5(number of hours )

Cost : 12 + 5h ---------- eqn 1

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

Cost: 18 + 3(number of hours)

Cost: 18 + 3h ---------- eqn 1

For eqn 1 = eqn 2,  the number of hours for the total cost will be the same for the two services

Therefore,

12 + 5h = 18 + 3h

Thus option A is correct