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Sarah and Joe are seeking to join a gym. Sarah saw on television that Great Gym is offering membership at $19.50 per month, plus a one-time registration fee of $59. Joe plans to join Workout World because Workout World only charges $9.50 per month, plus a one-time registration fee of $149.

  1. (20 points)If Sarah decides to join Great Gym and Joe joins Workout World, who would pay less during the first year of membership? Show your work.

Verified Answer :

joe will pay less in the first year of membership

Money paid by Sarah=y₁
x=number of months:

y₁=19.5x+59

Money paid by Joe=y₂

y₂=9.5x+149

If x=12     (12 months); then :

The money paid by Sarah would be:
y₁=19.5(12)+59=293
Sarah would pay $293


The money paid by Joe would be:
y₂=9.5(12)+149=263
Joe would pay $263

Answer: Sarah would pay less during the first year or membership. 

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