Question

Linda makes extra money by cleaning pools. Depending on the job. Linda charges pool owners according to one of the two plans below. Plan 1: $8.00 per hour Plan 2: An initial fee of $12.00 plus $5.00 per hour For what number of hours are the charges from the two plans the same?

Answer 1

4 hours

Step-by-step explanation:

We can write an equation for the charge of plan 1 as follows:

C1 = 8x

Where x is the number of hours.

In the same way, we can write an equation for the charge of plan 2 as:

C2 = 12 + 5x

Where x is the number of hours.

Now, we need to find the value of x, where the charge of plan 1 is equal to the charge of plan 2, so we get:

C1 = C2

8x = 12 + 5x

Then, solving for x, we get:

8x - 5x = 12 + 5x - 5x

3x = 12

3x/3 = 12/3

x = 4

Therefore, at 4 hours the charges from the two plans are the same.