Question

3. 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 and for Super Fit for x months. (1 point) (b) 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. (2 points) (c) Is there a membership period for which Tom and Edward would pay the same amount? If so, how long would this membership be and how much would it cost? Show your work. (2 points) (d) Which gym membership is a better deal? Explain why in complete sentences. (1 point)

Answer 1

Can't give you the "expression" but here's the rest....
(b) 60+20=80; 150+10=160 answer: Tom (1st month pay) and 60+(20x12)=300;
150+(10x12)=270 answer: Edward.

(c) 60+(20x9)=240; 150+(10x9)=240 answer: 9th month.

(d) the better deal for a gym membership would be the membership to the Superfit Gym.  The reason is because by the end of the 12 month year, Edward will pay $270.00 instead of $300.00 that Platinum Gym will charge.