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 Wacky Workout World because Wacky Workout World only charges $9.50 per month, plus a one-time registration fee of $149.

Question

Both gym memberships will eventually have a month in which the cost to attend either gym would be the same. How long would this membership be and how much would it cost? Show your work.

Answer 1

Using the functions I already gave you:

G = 59.00 + 19.50x
W = 149.00 + 9.50x

you want to find when the costs are equal. Well, duh -- set the two values equal and see which value of x makes it so:

59.00 + 19.50x = 149.00 + 9.50x
10x = 90
x = 9