Question

Planet Fitness charges a one-time application fee of $50 plus $30 per session for a

Answer 1

Answer:

When the number of sessions is equal to 10, the total cost is the same in the two plans

Step-by-step explanation:

Let

y ---> the total cost

x ---> the number of sessions

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Planet Fitness

we have

The slope is equal to

$m=\ 30\ per\ session$

The y-intercept or initial value is equal to

$b=\ 50$

substitute

$y=30x+50$ ----> equation A

Gold's Gym

we have

The slope is equal to

$m=\ 10\ per\ session$

The y-intercept or initial value is equal to

$b=\ 250$

substitute

$y=10x+250$ ----> equation B

Equate equation A and equation B

$30x+50=10x+250$

solve for x

$30x-10x=250-50\\20x=200\\x=10$

therefore

When the number of sessions is equal to 10, the total cost is the same in the two plans