Question #57bb0

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Question #57bb0

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Answer 1 · 2018-02-15T12:03:47

$y$ = $315$ / $x$

Explanation:

When Y varies inversely as x, we can express the relationship of such by:

$y$ = $k$ / $x$

Hence, substituting your values of x and y can give the value of the constant k.

$45$ = $k$ / $7$

So, $k$ = $315$

Now that the value of k is known.
Overall, the equation would be:

$y$ = $315$ / $x$

The question would usually give you a value of $x$ or $y$ to solve for the other unknown.

Answer 2 · 2018-02-15T14:35:02

$y=315/x$

Explanation:

$"the initial statement is "yprop1/x$

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

$rArry=kxx1/x=k/xlarrcolor(blue)"k is the constant of variation"$

$"to find k use the given condition"$

$y=45" when "x=7$

$y=k/xrArrk=yx=45xx7=315$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=315/x)color(white)(2/2)|)))$

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Question #57bb0

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