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.

3. (20 points) If Sarah decides to join Great Gym and Joe joins Workout World, who would pay less during the first month of membership? Show your work.

Question

27-09-2016
Mathematics

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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.

3. (20 points) If Sarah decides to join Great Gym and Joe joins Workout World, who would pay less during the first month of membership? Show your work.

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DanielTako DanielTako · Answer 1 · 2016-10-02T19:01:03+02:00

Set up an equation for both Sarah and Joe.

Sarah's equation would be 59+19.50x=y

Joe's Equation would be 149+9.50x=y

The goal is to get y to equal the lowest number. If we plug in 1 for x for both equations we get:

59+19.50(1)=y for sarah and Joes would be 149+9.50(1)=y.

Sarah would pay $78.50 for her 1st month and Joe would pay $158.5 for his 1st month. Sarah pays much less than joe but over a few months Sarah would pay more eventually. Hope I helped and if you have any questions, just leave a comment.