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M2-003-A08-V04
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A-CED.2
Warmup
M2-003-A08-V04
Create equations in two or more variables and graph them with appropriate labels and scales.
Interpret a point on the graph of an equation in context
Problem
For \(M=2n+7\); \(\text{point}(4,15)\); \(n\) is months and \(M\) is total magazine issues, identify input quantity/unit, output quantity/unit, equation check, and contextual point interpretation.
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A
input coordinate=4 months; output coordinate=15 issues; substitution=M(15)=2·15+7=37; interpretation=the output15 is substituted for n to verify the point
B
input coordinate=4 months; output coordinate=15 issues; substitution=15÷4=3.75 issues/month; interpretation=the point shows a constant rate of3.75 issues per month
C
input coordinate=15 issues; output coordinate=4 months; substitution=M(15)=2·15+7=37; interpretation=after15 months the modeled total is4 issues
D
input coordinate=4 months; output coordinate=15 issues; substitution=M(4)=2·4+7=15; interpretation=after4 months the modeled total is15 issues
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Curriculum context
Standard A-CED.2
Category Algebra
Domain Creating Equations
Objective Create equations in two or more variables and graph them with appropriate labels and scales.
Problem type Interpret a point on the graph of an equation in context