During a portion of a flight, a small airplane's cruising speed varied between 150 miles per hour and 170 miles

Question

During a portion of a flight, a small airplane's cruising speed varied between $150$ miles per hour and $170$ miles per hour. Which inequality best represents this situation, where $s$ is the cruising speed, in miles per hour, during this portion of the flight?

A.

$s less than or equals 20$

B.

$s less than or equals 150$

C.

$s less than or equals 170$

D.

$150 \leq s \leq 170$

Accepted Answer

Choice D is correct. It's given that during a portion of a flight, a small airplane's cruising speed varied between 150 miles per hour and 170 miles per hour. It's also given that s represents the cruising speed, in miles per hour, during this portion of the flight. It follows that the airplane's cruising speed, in miles per hour, was at least 150 , which means s &#8805; 150 , and was at most 170 , which means s &#8804; 170 . Therefore, the inequality that best represents this situation is 150 &#8804; s &#8804; 170 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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