Question

the cost c of printing a magazine is jointly proportional to the number of pages p in the magazine and the number of magazines printed m. (a) write an equation that expresses this joint variation. (use k for the constant of proportionality.) c = kmp (b) find the constant of proportionality if the printing cost is $53,750 for 4300 copies of a 100 - page magazine. k = 0.125 (c) how much would the printing cost be for 3500 copies of a 70 - page magazine? $

Explanation:

Step1: Recall the joint variation formula

We know from part (a) that the cost \( C \) is jointly proportional to the number of pages \( p \) and the number of magazines printed \( m \), so the formula is \( C = kmp \). We found in part (b) that \( k = 0.125 \).

Step2: Substitute the given values into the formula

For part (c), we have \( m = 3500 \) (number of copies), \( p = 70 \) (number of pages), and \( k = 0.125 \). Substitute these values into the formula \( C=kmp \):

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Answer:

\( 30625 \)