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Sladkaya [172]
2 years ago
4

The cost of belonging to a gym can be modeled by the function C(m)=50m+79.50, where C(m) is the total cost for m months of gym m

embership. State the values and meaning of the slope and y-intercept of this function with respect to the costs associated with the gym membership
Mathematics
1 answer:
vazorg [7]2 years ago
3 0

Answer:

Slope = 50  [monthly cost is $50 per month]

Y-Intercept = 79.50  [this is the initial cost of the membership, $79.50]

Step-by-step explanation:

The equation is:

C(m)=50m+79.50

This follows the general function  y = mx + b

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

So, matching coefficients, we see that:

Slope = 50

Y-Intercept = 79.50

<em>THe meaning of slope is for every change in x-values, we have a change of m in y value. Thus, for every change in m (1 month), we will have change of 40 in y-value (which is the cost)</em>

<em>Thus, monthly cost is $50 per month.</em>

<em />

<em>Now, y intercept means the value of y(cost) at x = 0 (which is months = 0).</em>

<em>Thus, we can say when months = 0, initially, the cost is 79.50. So, this is teh initial cost of joining the gym.</em>

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