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Question
2.4.ps-12
the height of a stack of dvd cases is in a proportional relationship to the number of cases in the stack. a stack of 8 cases and its height are shown. find the constant of proportionality. then use the constant of proportionality to find the height of a stack of 12 cases.
the constant of proportionality is 13 millimeters per dvd case.
the height of 12 dvd cases is \\(\square\\) millimeters.
enter your answer in the answer box and then click check answer.
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Step1: Understand proportional relationship
The height \( h \) of DVD cases is proportional to the number of cases \( n \), so \( h = k \times n \), where \( k \) is the constant of proportionality (13 mm per case).
Step2: Calculate height for 12 cases
Substitute \( n = 12 \) and \( k = 13 \) into the formula: \( h = 13 \times 12 \)
\( h = 156 \)
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156