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An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes, and then descends for 20 minutes before it lands. Sketch the graph of the height of the plane over time.

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Final answer:

The graph of the height of the plane over time would have a concave upward curve followed by a straight line and then a concave downward curve.

Step-by-step explanation:

The height of the plane over time can be represented by a graph.

Initially, the plane takes 15 minutes to reach its cruising altitude, so the graph would show a curve that is concave upward.

Then, the plane maintains its cruising altitude for 90 minutes, which would be shown as a straight line on the graph.

Finally, the plane descends for 20 minutes, resulting in a curve that is concave downward on the graph.

Therefore, the graph of the height of the plane over time would have a concave upward curve followed by a straight line and then a concave downward curve.

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User Adrien Coquio
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