7

Set 2: Linear Functions (Intermediate)

Explanation

Answer: A

What does the slope represent in the equation C=0.5m+10C = 0.5m + 10, where CC is the cost of a taxi ride and mm is the miles driven?

A.

The cost per mile ($0.50)

✓ Correct
B.

The initial fee ($10)

C.

The total cost

D.

The number of miles

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Interpret the linear model. 1. Model: y=mx+by = mx + b form. 2. Slope (mm): The coefficient of the variable (0.55). It represents the rate of change. 3. Context: Cost per mile. Strategic Tip: Slope is always a "rate" (something per something). Intercept is the "starting amount". Choice B is incorrect because 10 is the y-intercept (base fee). Choice C is incorrect because CC is the dependent variable. Choice D is incorrect because mm is the independent variable.

Key Steps:

The correct answer is The cost per mile ($0.50)

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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