10

Set 6: Linear Functions

Explanation

Answer: A

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

✓ Correct
B.

Less than 4 months

C.

Exactly 4 months

D.

Never

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Inequality. 1. Gym 1: 100m100m. 2. Gym 2: 50m+20050m + 200. 3. Inequality: 50m+200<100m50m + 200 < 100 m. 4. Solve: 200<50m→4<m200< 50 m \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.

Key Steps:

•

The correct answer is More than 4 months

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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