3
algebraWhat does the slope represent in the equation , where is the cost of a taxi ride and 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.
- Model: form.
- Slope (): The coefficient of the variable (). It represents the rate of change.
- 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 is the dependent variable. Choice D is incorrect because is the independent variable.