Question

The cost of belonging to a gym can be modeled by C(m) = 50m + 79.50, where C(m) is the totalcost for m months of membership.State the meaning of the slope and y-intercept of this function with respect to the costs associatedwith the gym membership.Please answer the problem accordingly and show all steps thoroughly.

Answer 1

Step-by-step explanation:

The cost of belonging to the gym can be modeled by C(m) = 50m + 79.50, where C(m) is the total cost for m months of membership. This is a linear function. Recall, the standard form of linear equation is expressed as

y = mx + c

where

m is the slope or rate of change

c is the y intercept. It is the value of y when x is 0

By comparing both equations,

slope = 50

y intercept = 79.5

The slope means that the amount charged per month by the gym is 50

When number of months, m = 0, total cost = 79.5. Thus,

The y intercept, 79.5 is a base fee charged by the gym