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.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.