Find an equation of variation in which y varies inversely as x and the following condition exists: 1) y=63 when x=1/7

is the answer:

A) y = 9/x

B) y= 2/x

C) y= 16/x

D) y = 7/x

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- Mar 19th 2006, 08:54 PMkharris82Alebra Equation
Find an equation of variation in which y varies inversely as x and the following condition exists: 1) y=63 when x=1/7

is the answer:

A) y = 9/x

B) y= 2/x

C) y= 16/x

D) y = 7/x - Mar 19th 2006, 11:51 PMCaptainBlackQuote:

Originally Posted by**kharris82**

$\displaystyle k$ such that:

$\displaystyle

y=\frac{k}{x}

$.

Now when $\displaystyle x=1/7$, $\displaystyle y=63$, so:

$\displaystyle

63=\frac{k}{1/7}=7k

$,

hence $\displaystyle k=63/7=9$, and so:

$\displaystyle

y=\frac{9}{x}

$,

which is answer A)

RonL