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 membership. state the values and meaning of the slope and y-intercept of this function with respect to the costs associated with the gym membership

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:

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

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)

Thus, monthly cost is $50 per month.

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

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

huh? im pretty sure it is in 199

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.