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.Show all steps

Answer 1

Given:

The cost of belonging to a gym can be modelled by,

`C\left(m\right)=50m+79.50`

To find:

The slope and the y-intercept

Step-by-step explanation:

The equation is of the slope-intercept form of the linear equation,

`y=mx+c`

Where m is the slope and c is the y-intercept.

Comparing we get,

`\begin{gathered} m=50 \\ c=79.50 \end{gathered}`

Here, the slope represents the cost per month of membership and the y-intercept represents the fixed initial fee to be given to the gym for joining.

Final answer:

• The slope is 50.

,

• The y-intercept is 79.50.