3
algebra

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)

B

The initial fee ($10)

C

The total cost

D

The number of miles

Correct Answer: A

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 (0.50.5). 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 becauseCC is the dependent variable. Choice D is incorrect becausemm is the independent variable.