5
algebra

A gym charges $100/month. A second gym charges $50/month but has a $200 joining fee. After how many months is the second gym cheaper?

A

More than 4 months

B

Less than 4 months

C

Exactly 4 months

D

Never

Correct Answer: A

Choice A is the correct answer. Inequality.

  1. Gym 1: 100m100m.
  2. Gym 2: 50m+20050m + 200.
  3. Inequality: 50m+200<100m50m + 200 < 100m.
  4. Solve: 200<50m4<m200 < 50m \rightarrow 4 < m.
  5. Result: More than 4 months.

💡 Strategic Tip: High startup cost pays off in the long run if the monthly rate is lower.

Choice B is incorrect.Choice C is incorrect because equal cost. Choice D is incorrect.