Set 10: Linear Equations (Advanced)

Explanation

Answer: C

The cost $C$ of a gym membership is given by $C = 30m + 50$ , where $m$ is months. What does 30 represent?

The sign-up fee

The number of months

The monthly fee

✓ Correct

The total cost

Detailed Explanation

Choice C is correct. Choice D is the correct answer. 1. Equation Form: $y = mx + b$ (Slope-Intercept). 2. Slope (30): Rate of change. Cost per month. 3. Intercept (50): Starting value. Sign-up fee. Choice D is incorrect because 50 is the sign-up fee. Choice C is incorrect because C is the total cost. Choice C is incorrect because m is the number of months.

Key Steps:

•

The correct answer is The monthly fee

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B 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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