A gym offers three levels of membership based on the number of visits per month, as represented by the table.

Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

1 answer

To create a graph representing the total monthly cost as a function of the number of visits Kaleigh plans to make, we would first need the specific details from the membership table, such as the cost associated with each level of membership and the number of visits included in each.

Assuming you have a tiered pricing system such as:

  • Basic Membership: Costs $X per month for up to Y visits.
  • Standard Membership: Costs $Z per month for up to W visits.
  • Premium Membership: Costs $A per month for more than V visits.

The graph of total cost would effectively be a piecewise function where:

  1. For the first segment (0 to Y visits), the total cost is constant at $X.
  2. For the next segment (Y+1 to W visits), the total cost increases linearly with the new monthly cost $Z.
  3. For visits beyond W, the total cost would increase again with the pricing for the Premium membership at $A.

To accurately determine which graph would represent this scenario, it would need to visually show these segments and any changes in cost occurring at the thresholds (Y and W) you have. The graph should have distinct flat sections corresponding to the cost associated with each membership type.

Without seeing the actual graphs or any data, I can't specify which one is correct. However, if you post the details of the membership levels or the specific graphs available, I can help you identify the correct one!