1
algebra

A gym membership costs $50 to join and $30 per month. Which equation represents the total cost CC after mm months?

A

C=30m+50C = 30m + 50

B

C=50m+30C = 50m + 30

C

C=30m50C = 30m - 50

D

C=80mC = 80m

Correct Answer: A

Choice A is the correct answer. Identify the rate and starting value.

  1. Rate (Slope): $30 per month 30m\rightarrow 30m.
  2. Start (Intercept): $50 one-time fee +50\rightarrow + 50.
  3. Equation: C=30m+50C = 30m + 50.

💡 Strategic Tip: The number associated with the variable (per month, per hour) is the slope. The one-time fee is the y-intercept.

Choice B is incorrect because it swaps the monthly rate and joining fee. Choice C is incorrect because it subtracts the joining fee. Choice D is incorrect because it adds the two numbers together as a single rate.