You are comparing the cost of two memberships.

Question

You are comparing the costs of two gym memberships. For Gym A, you will pay $100 for 3 months, and $160 for 5 months. For Gym B, you will pay based on the equation y=$20+25x, where y is the total cost, and x is the number of months you will pay for. Which Gym sets a higher Set fee? Which Gym charges a higher rate per month? Which Gym will be cheaper if you are joing for 4 months?

Answer 1

1. Gym A plan 1 = $100 / 3 months = $33.33/month

2. Gym A plan 2 = $160 / 5 months = $32.00/month

 

3. Gym B set fee of $20 + $25/month times the number of months

to compare that plan with 1 and 2, let's use 3 months

so, Total = $20 3months x $25 = $20 + $75 = $95

$95 divided by 3 months = $31.67/month

 

Which Gym sets a higher Set fee?  Gym B is the only one with a set fee.

 

Which Gym charges a higher rate per month? Based on 3 months, the highest rate is from Gym A plan 1

 

Which Gym will be cheaper if you are joining for 4 months?

1. Gym A plan 1 = $100 / 3 months = $33.33/month x 4 months = $133.32
2. Gym A plan 2 = $160 / 5 months = $32.00/month x 4 months = $128.00

3. Gym B = $20 + 25/month x 4 months = $120

 

Answer = Gym B