A health club charges a one-time sign-up fee and a monthly membership fee. The table below represents what the health club charges. Find the rate of change.
Health Club
Months left bracket x right bracketMonths (x) Total Cost left bracket y right bracketTotal Cost (y)
99 431431
1111 519519
1313 607607
1515 695695
To find the rate of change, we need to calculate the change in total cost for each additional month.
Change in total cost from 9 to 11 months: 519 - 431 = 88
Change in total cost from 11 to 13 months: 607 - 519 = 88
Change in total cost from 13 to 15 months: 695 - 607 = 88
Since the change in total cost is constant at 88 for each additional 2 months, the rate of change is:
Rate of change = 88 / 2 = 44
Therefore, the rate of change for the health club charges is 44.