Question

Avery is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t months is given by the equation c = 40t + 150. What is the slope of the equation and what is its interpretation in the context of the problem?

Answer 1

The slope of the equation c = 40t + 150 is 40. In the context of the problem, this means that Avery has to pay an additional $40 every month to remain a member of the gym.

Step-by-step explanation:

In the given problem, the equation c = 40t + 150 represents the total cost of the gym membership over t months. The slope of the equation is 40, which means that for each additional month of membership, the cost increases by $40.

The interpretation of the slope in the context of the problem is that the monthly fee for the gym membership is $40. This means that Avery has to pay an additional $40 every month to remain a member of the gym.