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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

Respuesta :

Given:

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

[tex]C\left(m\right)=50m+79.50[/tex]

To find:

The slope and the y-intercept

Explanation:

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

[tex]y=mx+c[/tex]

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

Comparing we get,

[tex]\begin{gathered} m=50 \\ c=79.50 \end{gathered}[/tex]

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.

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