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

The graph shown models the number of candy bars a certain machine wraps with a label in $x$ seconds.

$\"\"$

According to the graph, what is the estimated number of candy bars the machine wraps with a label per second?

","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-248"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

The graph shown models the number of candy bars a certain machine wraps with a label in $x$ seconds.

$\"\"$

According to the graph, what is the estimated number of candy bars the machine wraps with a label per second?

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

Choice B is correct. For the graph shown, the $x$-axis represents time, in seconds, and the $y$-axis represents the number of candy bars wrapped. The slope of a line in the $xy$-plane is the change in $y$ for each $1$-unit increase in $x$. It follows that the slope of the graph shown represents the estimated number of candy bars the machine wraps with a label per second. The slope, $m$, of a line in the $xy$-plane can be found using any two points, $(x_{1},y_{1})$ and $(x_{2},y_{2})$, on the line and the slope formula $m=\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. The graph shown passes through the points $(0,0)$ and $(2,80)$. Substituting these points for $(x_{1},y_{1})$ and $(x_{2},y_{2})$, respectively, in the slope formula yields $m=\\frac{80-0}{2-0}$ which is equivalent to $m=\\frac{80}{2}$, or $m=40$. Therefore, the estimated number of candy bars the machine wraps with a label per second is $40$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

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

The graph shown models the number of candy bars a certain machine wraps with a label in $x$ seconds.

$\"\"$

According to the graph, what is the estimated number of candy bars the machine wraps with a label per second?

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

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

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

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

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

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

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-248"}