Question

The graph below shows Kate's distance from her home (y), in miles, after a certain amount of time (x), in minutes: Graph titled Kates Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5 and 6, 6 and 7, 6 and 8, 6. Four students described Kate's motion, as shown in the table below: Student Description Mary She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 8 minutes. Lucy She drives at a variable speed for 2 minutes, then drives at a constant speed for 6 minutes, and finally stops at the parking area for the next 2 minutes. Tim She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes. Pamela She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 8 minutes. Which student most accurately described Lisa's motion?

Answer 1

Answer:

Tim

Step-by-step explanation:

The best description of the graph is offered by Tim:

"She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes."

The slope of the graph is Kate's speed. When it varies, it means her speed is varying. When it is constant, it means her speed is constant. When the line is horizontal, the slope (and Kate's speed) is zero.

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Comment on the question

The graph describes Kate's distance from home. The question asks about Lisa's motion. We have no idea whether any of the students are describing Lisa's motion, as there is no information provided about what Lisa's motion is.