1. **State the problem:** We have three health clubs with different payment plans. We need to match each club to its payment table and write equations representing their costs. 2. **Identify each club's table:** - Club C has no initial fee and charges $60 per month. The table with costs starting at $0 and increasing by $60 each month matches Club C. - Club A has a $150 initial fee and charges $45 per month. The table starting at $195 for month 1 (which is $150 + $45) matches Club A. - Club B has a $250 initial fee and charges $35 per month. The table starting at $285 for month 1 (which is $250 + $35) matches Club B. 3. **Write equations for each club:** The general form for cost is: $$y = mx + b$$ where $m$ is the monthly charge (slope) and $b$ is the initial fee (y-intercept). - Club C: $$y = 60x + 0$$ Slope means: The cost increases by $60 every month. Y-intercept means: There is no initial fee. - Club A: $$y = 45x + 150$$ Slope means: The cost increases by $45 every month. Y-intercept means: The initial fee is $150. - Club B: $$y = 35x + 250$$ Slope means: The cost increases by $35 every month. Y-intercept means: The initial fee is $250. **Final answers:** - Club C matches the table with costs 0, 60, 120, 180, 240, 300. - Club A matches the table with costs 195, 240, 285, 330, 375. - Club B matches the table with costs 285, 320, 355, 390, 425. Equations: - Club C: $y = 60x + 0$ - Club A: $y = 45x + 150$ - Club B: $y = 35x + 250$