{"@context":"https://schema.org/","@type":"Quiz","name":"

The graph shows the relationship between the number of shares of stock from Company A, $x$, and the number of shares of stock from Company B, $y$, that Simone can purchase. Which equation could represent this relationship?

$\"\"$

","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-254"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

The graph shows the relationship between the number of shares of stock from Company A, $x$, and the number of shares of stock from Company B, $y$, that Simone can purchase. Which equation could represent this relationship?

$\"\"$

","comment":{"@type":"Comment","text":"

Choice B is correct. The graph shown is a line passing through the points $(0,40)$ and $(60,0)$. Since the relationship between $x$ and $y$ is linear, if two points on the graph make a linear equation true, then the equation represents the relationship. Substituting $0$ for $x$ and $40$ for $y$ in the equation in choice B, $8x+12y=480$, yields $8(0)+12(40)=480$, or $480=480$, which is true. Substituting $60$ for $x$ and $0$ for $y$ in the equation $8x+12y=480$ yields $8(60)+12(0)=480$, or $480=480$, which is true. Therefore, the equation $8x+12y=480$ represents the relationship between $x$ and $y$.

Choice A is incorrect. The point $(0,40)$ is not on the graph of this equation, since $40=8(0)+12$, or $40=12$, is not true.

Choice C is incorrect. The point $(0,40)$ is not on the graph of this equation, since $40=12(0)+8$, or $40=8$, is not true.

Choice D is incorrect. The point $(0,40)$ is not on the graph of this equation, since $12(0)+8(40)=480$, or $320=480$, is not true.

"},"encodingFormat":"text/markdown","text":"

The graph shows the relationship between the number of shares of stock from Company A, $x$, and the number of shares of stock from Company B, $y$, that Simone can purchase. Which equation could represent this relationship?

$\"\"$

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$y=8x+12$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$y=12x+8$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$12x+8y=480$

"}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$8x+12y=480$

","comment":{"@type":"Comment","text":"

Choice A is incorrect. The point $(0,40)$ is not on the graph of this equation, since $40=8(0)+12$, or $40=12$, is not true.

Choice C is incorrect. The point $(0,40)$ is not on the graph of this equation, since $40=12(0)+8$, or $40=8$, is not true.

Choice D is incorrect. The point $(0,40)$ is not on the graph of this equation, since $12(0)+8(40)=480$, or $320=480$, is not true.

"},"answerExplanation":{"@type":"Comment","text":"

Choice A is incorrect. The point $(0,40)$ is not on the graph of this equation, since $40=8(0)+12$, or $40=12$, is not true.

Choice C is incorrect. The point $(0,40)$ is not on the graph of this equation, since $40=12(0)+8$, or $40=8$, is not true.

Choice D is incorrect. The point $(0,40)$ is not on the graph of this equation, since $12(0)+8(40)=480$, or $320=480$, is not true.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-254"}