A membership to the local gym costs $40 and $2 per visit. Tell what type of function is it and also write the equation for it.

y=2x+40

linear function with the y-intercept at 40

Step-by-step explanation:

linear function

y = 2x + 40

Step-by-step explanation:

This is a linear function since for an equal change of the input (number of visits) you get an equal change in the output (the cost).

The fixed cost is $40.

The variable cost is the $2 per visit.

For x visits, the cost of the visits is 2x.

Now you add the $40 fixed cost to the variable cost to get 2x + 40.

Let y = total cost and x = number of visits.

The equation of the linear function is:

y = 2x + 40

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