Casey wants to a gym membership one gym has $100 joining fee and costs $30 per month. another gym has no joining fee and costs $50 per month. when would casey pay the same to be a member of either gym? how much would he pay?

Casey would pay the same to be a member of either gym for a number of months equal to 5 and he would pay $250

Step-by-step explanation:

Let

x ----> the number of months

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form between two variables x and y is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value of the linear equation

In this problem we have

First Gym

The slope or unit rate is equal to

The y-intercept or initial value is ----> joining fee

so

----> equation A

Second Gym

The slope or unit rate is equal to

The y-intercept or initial value is ----> joining fee

so

----> equation B (proportional relationship)

equate equation A and equation B

solve for x

Verify

For x=5

First Gym

Second Gym

therefore

Casey would pay the same to be a member of either gym for a number of months equal to 5 and he would pay $250

total = principal × ( 1 + rate ) ^ years

total = 600 * (1.04)^5

total = 729.99

answer is c

step-by-step explanation:

-2 is the right