3

Set 10: Linear Functions

Explanation

Answer: A

A graph of distance vs. time is a straight line. What does the slope represent?

A.

Speed

✓ Correct
B.

Distance

C.

Time

D.

Acceleration

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Rate of change definition. 1. Slope: ΔyΔx=Change in DistanceChange in Time\frac{\Delta y}{\Delta x} = \frac{\text{Change in Distance}}{\text{Change in Time}}. 2. Physics: Distance / Time = Speed (or Velocity). Strategic Tip: The slope of a position-time graph is velocity. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect because acceleration is the slope of a velocity-time graph.

Key Steps:

The correct answer is Speed

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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