Question

Helicopter A takes off from the ground and rises into the air at a constant rate. Helicopter B takes off from the top of a 500-foot building and rises into the air at a constant rate. The relationship between height of each helicopter and the time it spends in the air is shown in the graphs.

Select the four statements that are true.

Multiple select question.
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A)
The graph for Helicopter A is proportional.
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B)
The graph for Helicopter B is proportional.
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C)
Both Helicopter A and Helicopter B increase their height at a constant rate of 1,000 feet per minute.
cross out

D)
For Helicopter A, the constant of proportionality, in feet per minute, is 1,000.
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E)
For Helicopter B, there is no constant of proportionality.

Answer 1

D) For Helicopter A, the constant of proportionality, in feet per minute, is 1,000.

E) For Helicopter B, there is no constant of proportionality.

Explanation:

The graph for Helicopter A is proportional, meaning the height increases at a constant rate. The constant of proportionality is 1,000 feet per minute. However, the graph for Helicopter B is not proportional since it starts at a height of 500 feet and then rises at a constant rate. Therefore, there is no constant of proportionality for Helicopter B.