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

1 answer

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.