Week 8 CAPT Problem - 10th Grade


The Health Club


Two local health and fitness centers, Fitness First and Healthy Life are coming to your neighborhood. The copies of their ads are shown below:

Fitness First



$49.00/month for the first family member
plus
29.00/month for each additional family member


Healthy Life



$65.00/month for the first family member
plus
21.00/month for each additional family member


  1. Write an equation that shows the total monthly charges (C) for a family with N members at Fitness First.

  2. Write an equation that shows the total monthly charges (C) for a family with N members at Healthy Life.

  3. Plot the graph for the 2 equations for 2 through 10 family members.

  4. For what number of family members would the charges be the same?

  5. For how many family members would Healthy Life begin to be less expensive?