How do you determine the constant of proportionality if r varies directly as p and r = 3 when p = 15?

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How do you determine the constant of proportionality if r varies directly as p and r = 3 when p = 15?

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Answer 1 · 2018-04-01T15:20:07

$k = \frac{1}{5}$ $k=1/5$

Explanation:

$the initial statement is r \propto p$ $"the initial statement is "rpropp$

$to convert to an equation multiply by k the constant$ $"to convert to an equation multiply by k the constant"$
$of variation$ $"of variation"$

$\Rightarrow r = k p$ $rArrr=kp$

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

$r = 3 when p = 15$ $r=3" when "p=15$

$r = k p \Rightarrow k = \frac{r}{p} = \frac{3}{15} = \frac{1}{5}$ $r=kprArrk=r/p=3/15=1/5$

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How do you determine the constant of proportionality if r varies directly as p and r = 3 when p = 15?

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