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If y varies inversely with x, and x = 2.2 when y = 33. How do you find the inverse variation equation and use it to find the value of y when x = 4.84?

1 Answer

Aug 12, 2016

$(1) :$ $(1):$ Inverse Variation Eqn is, $x y = 72.6$ $xy=72.6$ .

$(2)$ $(2)$ : y=15#.

Explanation:

Given that, $y \propto \frac{1}{x} \Rightarrow x y = k =$ $y prop 1/x rArr xy=k=$ const. of variation $\neq 0$ $!=0$ .

To determine $k$ $k$ , we use the data $: w h e n x = 2.2, y = 33$ $: when x=2.2, y=33$

$:. (2.2)(33)=k= 72.6 rArr xy=72.6.....(1)$ is the reqd. eqn.

Now to find $y$ , when $x=4.84$ , we use $(1)$ :

$4.84y=72.6 rArr y=72.6/4.84=15$ .

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