Question

Jinny joins a fitness club that has a membership fee of $25 plus $20 per month. Jon's club has a fee of $50 and charges $15 per month. In how many months will the clubs cost the same?

Answer 1

Create two equations for Jinny and Jon using y = mx + b, where m is the amount of money PER MONTH (slope) and b THE INITIAL FEE (y intercept).

Jinny = 20x+25

Jon = 15x + 50

Set these two equal and solve.

20x + 25 = 15x + 50

5x = 25

x = 5 months.