At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. at another gym, it costs $4 to startup, but after that, each month at the gym costs $22. after how many months will the cost of both gyms be thge same?

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

Slope-intercept equation of linear function

where

slope of line

y-intercept

Let linear function to calculate total cost of gym be:

where

total cost of gym

cost per month (slope)

number of months

start-up fee (y-intercept)

For Gym 1

,

For Gym 2

,

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months

So,

In 4 months the cost of both gyms will be the same.

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step-by-step explanation: