SAT question 80ae6851 (Linear Equations In Two Variables)

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?

61

Difficulty:Easy

A

$4 x y = 70$

B

$4 (x + y) = 70$

C

$3 x + y = 70$

D

$x + 3 y = 70$

College Board · Accepted Answer

The correct answer is D. 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 × x + 3 × y , or x + 3 y , minutes. Since the video is 70 minutes long, the equation x + 3 y = 70 represents this situation.

CookSAT · Answer

Note: The segment lengths, not the two segment types, supply the coefficients.

Explanation

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Why the other choices are wrong

SAT Question 80ae6851: Linear Equations In Two Variables answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong