Question

Happy Paws charges $21.00 plus $2.50 per hour to keep a dog

during the day.
Woof Watchers charges $10.00 plus $3.75 per hour to keep a
dog during the day.
Use the variable x to represent the number of hours. Write an
equation and solve for x to find out how many hours the total
cost of the services is equal. (Write your final answer as a
decimal.)

Answer 1

8.8 hours

Explanation:

happy paws charges $21 in addition to $2.5 per hour -- we can write this as

21 + 2.5 per hour -- since the number of hours is x, this is equal to

21 + 2.5 (x)

similarly, woof watchers is

10 + 3.75 (x)

we must find when the services are equal --

21 + 2.5x = 10+3.75x

subtract 10 from both sides

11 + 2.5x = 3.75x

subtract 2.5x from both sides

11 = 1.25

divide both sides by 1.25

x = 8.8