Week 8 CAPT Problem - 9th 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. What would it cost for 4 family members at Fitness First? At Healthy Life?

  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. Put the number of family members on the x axis and have the charges be on the Y axis.

  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?