M varies directly with n; m = 144 when n = 8, how do you write the direct variation equation?

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M varies directly with n; m = 144 when n = 8, how do you write the direct variation equation?

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Answer 1 · 2017-08-07T13:49:20

$m = 18 n$ $m=18n$

Explanation:

$the initial statement is m \propto n$ $"the initial statement is "mpropn$

$\Rightarrow y = k n \leftarrow k is constant of variation$ $rArry=knlarr" k is constant of variation"$

$to find k use the given condition$ $"to find k use the given condition"$

$m = 144 when n = 8$ $m=144" when "n=8$

$m = k n \Rightarrow k = \frac{m}{n} = \frac{144}{8} = 18$ $m=knrArrk=m/n=144/8=18$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(m=16n)color(white)(2/2)|)))$

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M varies directly with n; m = 144 when n = 8, how do you write the direct variation equation?

1 Answer

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