Set 7: Linear Functions (Advanced)

Explanation

Answer: A

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

The cost per mile ($0.50)

✓ Correct

The initial fee ($10)

The total cost

The number of miles

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Interpret the linear model. 1. Model: $y = mx + b$ form. 2. Slope ( $m$ ): The coefficient of the variable (0. $5$ ). 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 because $C$ is the dependent variable. Choice D is incorrect because $m$ 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.

← Previous Next →

Start Practicing

Set 7: Linear Functions (Advanced)

Detailed Explanation

🎯 Keep Practicing!