Question

Kathy and Jared are personal trainers. They each charge a one-time consultation fee, and an hourly rate. Kathy charges a $18 consultation fee, plus $12 per hour. Jared charges a $36 consultation fee, plus $6 per hour.

Answer 1

After 3 hours both Kathy and Jared will have the same amount of charges.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Kathy:

The amount charged after x hours.

= 18 + 12x _____(1)

Jared:

The amount charged after x hours.

= 36 + 6x _____(2)

From (1) and (2) we can find the number of hours at which both their amount are equal.

18 + 12x = 36 + 6x

Subtract 6x on both sides.

18 + 12x - 6x = 36

18 + 6x = 36

Subtract 18 on both sides.

6x = 36 - 18

6x = 18

Divide both sides by 6.

x = 3

Thus,

After 3 hours both Kathy and Jared will have the same amount of charges.

Learn more about expressions here:

https://brainly.com/question/3118662

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