Question

Joseph is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let CC represent the total cost of the gym membership over t months. A graph of CC is shown below. Write an equation for CC then state the slope of the graph and determine its interpretation in the context of the problem.

Answer 1

The equation for the total cost of the gym membership over t months is CC = Jo + M * t, where Jo represents the one-time fee to join, M represents the monthly fee to remain a member, and t represents the number of months for which the membership is valid.

The slope of the graph is M, the monthly fee to remain a member. The interpretation of the slope in the context of the problem is that it represents the cost per month of remaining a member of the gym.