Question

John is joining a gym. There is a membership fee of $25 per month and a fee of $2 per workout class he attends. Given this information, determine the input variable (x), output variable (y) , slope and y intercept that will help you to create an equation in the form y = mx + b to represent his monthly cost at the gym.

Answer 1

Input variable x: Number of classes he attends.

Output variable y: Monthly cost

Slope: Cost per class, of $2

y-intercept: Membership fee, of $25.

Function:
`y = 2x + 25`

Explanation:

This situation can be represented by a function is the following format:

`y = mx + b`

In which y is the monthly cost(output), m is the cost per class(slope), x is the number of classes he attends(input) and b is the membership fee(y-intercept).

We have that:

There is a membership fee of $25 per month and a fee of $2 per workout class he attends.

This means that
`b = 25, m = 2`. So

`y = 2x + 25`