A producer is creating a video with a length of 70 minutes. The video will consist of segments that are

Question

A producer is creating a video with a length of $70$ minutes. The video will consist of segments that are $1$ minute long and segments that are $3$ minutes long. Which equation represents this situation, where $x$ represents the number of $1$ -minute segments and $y$ represents the number of $3$ -minute segments?

A.

$4 x y equals 70$

B.

$4 (x + y) = 70$

C.

$3 x + y = 70$

D.

$x + 3 y = 70$

Accepted Answer

Choice D is correct. Since x represents the number of 1 -minute segments and y represents the number of 3 -minute segments, the total length of the video is 1 &middot; x + 3 &middot; y , or x + 3 y , minutes. Since the video is 70 minutes long, the equation x + 3 y = 70 represents this situation. Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors.

Question a-prod