The table below shows the cost for a gym membership at the local fitness center with an initial start up fee charged in the first month find the slope or monthly cost number of months 1,2,3,4 cost 74,99,124,149

To find the slope of the cost, we can consider the change in cost over the change in months. The change in months can be calculated as follows:

Change in months (Δm) = 4 - 1 = 3

The change in cost can be determined by subtracting the initial cost (in the first month) from the final cost (in the fourth month):

Change in cost (Δc) = 149 - 74 = 75

Now, we can calculate the slope (m) using the formula:

m = Δc / Δm

m = 75 / 3 = 25

Therefore, the slope or monthly cost of a gym membership at the local fitness center is $25 per month.