A gym offers its new customers two plans for 6-month memberships. In both plans, the first 3 hours of racquetball per month are included.
• Plan A: $45.00 per month, plus $10 per additional ' hour of racquetball
• Plan B: $75.00 per month, plus $7.50 per additional
Rami plays 5 hours of racquetball per month.
How much money will Rami save in 6 months with the cheaper plan? Enter the answer in the box.
First, let's calculate the total cost of each plan for 6 months:
Plan A:
Membership cost for 6 months = $45.00/month x 6 months = $270.00
Additional racquetball cost for 2 hours per month (5 hours - 3 hours included) = $10/hour x 2 hours x 6 months = $120.00
Total cost for Plan A for 6 months = $270.00 + $120.00 = $390.00
Plan B:
Membership cost for 6 months = $75.00/month x 6 months = $450.00
Additional racquetball cost for 2 hours per month (5 hours - 3 hours included) = $7.50/hour x 2 hours x 6 months = $90.00
Total cost for Plan B for 6 months = $450.00 + $90.00 = $540.00
Now let's calculate how much money Rami will save with Plan A:
$540.00 (total cost of Plan B) - $390.00 (total cost of Plan A) = $150.00
Therefore, Rami will save $150.00 in 6 months with the cheaper Plan A.