Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom's best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.

(a) Write an expression to represent the membership cost of Platinum Gym for x months.

(b) Write an expression to represent the membership cost of Super Fit for x months.

(c) If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.

Question

Mathematics

Elian Schroeder

7 January, 13:23

Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom's best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.

(a) Write an expression to represent the membership cost of Platinum Gym for x months.

(b) Write an expression to represent the membership cost of Super Fit for x months.

(c) If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.

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Answers (2)

Know the Answer?

Thomas Castaneda · Answer 1

Thomas Castaneda 7 January, 14:21

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The answers to the questions

Kyle Bond · Answer 2

A) let x=months let y=cost y=mx+b y = 20x + 60 Remember 20 is the variable which implies for this situation consistently it cost 20$ and 60 is the steady which implies you just pay it once

B) let x = Months let y = cost y=10x + 150

C) platinum rec center y = 20x+60 y=20 (1) + 60 y=20+60 y=80 Superfit y=10x+150 y=10 (1) + 150 y=10+150 y=160 Therefore Tom will pay less after the main month