Math Module 1 Question 5

The graph represents the height of an elevator from the ground floor $t$ seconds after it departs from a floor. What is the best interpretation of the slope of the graph?
Answer:
C

Explanation

The correct answer is Choice C.

Analyze the given graph and information to construct a linear equation.

Choice A is incorrect because the height of the departing floor or the initial height is represented as the $y$-intercept.

Choice B is incorrect because the height of the floor arrived or the final height is represented as the $y$-intercept.

Choice D is incorrect because the average acceleration, or the average change of speed over time is zero, since the elevator is moving at a constant speed.

✨ Expert's Tip ✨

Speed and velocity both describes how quickly an object is moving. However, velocity also tells the direction of the movement. In this case, negative means downward, thus, including the meaning that the elevator is going down.

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