If w is jointly proportional to u and v, and w=2 when u=4 and v=6, what is w when u=3 and v=8?

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If w is jointly proportional to u and v, and w=2 when u=4 and v=6, what is w when u=3 and v=8?

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Answer 1 · 2018-05-21T15:16:48

$w = 2$ $w=2$

Explanation:

$the initial statement is w \propto u v$ $"the initial statement is "wpropuv$

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

$\Rightarrow w = k u v$ $rArrw=kuv$

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

$w = 2 when u = 4 and v = 6$ $w=2" when "u=4" and "v=6$

$w = k u v \Rightarrow k = \frac{w}{u v} = \frac{2}{24} = \frac{1}{12}$ $w=kuvrArrk=w/(uv)=2/24=1/12$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(w=1/12uv)color(white)(2/2)|)))$

$"when "u=3" and "v=8" then"$

$w=1/12xx3xx8=1/12xx24=2$

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If w is jointly proportional to u and v, and w=2 when u=4 and v=6, what is w when u=3 and v=8?

1 Answer

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