Question

Which situation is modeled by the graph?

A.) the height of a jump rope being used over time
B.) the height of an elevator over time
C.) the height of a commuter airplane over time
D.) the height of a hummingbird at a feeder

Answer 1

well i know by looking for sure it is not D or C. so that eliminates 2 answers which leaves A and B. i believe the best answer for this is A. if i am wrong please let me know, if i am correct then let me know swell. hope this helps.

Answer 2

A. The height of a jump rope being used over time

Explanation:

We have, the height is related periodically to the time.

That is, as the time increases the height increases and decreases in a periodic manner.

So, from the options, we see that,

B. The height of an elevator over time.

If we assume any line parallel to x-axis as the ground, then the elevator's height also have negative values.

Thus, this option is discarded.

C. The height of a commuter airplane over time.

The commuter plane once in the air, flies at a constant speed.

That is, the height graph will be parallel to the x-axis in this case.

So, this option is discarded.

D. The height of a hummingbird at a feeder.

The height of a humming bird varies randomly with respect to time and cannot be represented by a periodic function.

So, this option is also discarded.

But, the movement of jump rope is periodic and can be represented by a periodic function as shown.

Hence, option A is correct.