$x$ varies inversely as y andwhen. Find x when.

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answer is D.

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Detailed Solution

Concept- In order to convert other specified word statements into mathematical expressions, first assume a variable representing Asha's current age. Then, determine the value of "x" and enter the numbers in the equation.
We are informed that x and y vary inversely.

Alternately, we will sometimes write this statement as

Let us first consider,

To obtain or bring equality between a and b when we have proportionality of the type

, we must modify a constant "k" between and k as
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So, we have

.
By putting the constant "k" to the above equation, we get
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By substituting the given values of

and

in the above equation, we get
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As a result, the constant k has a value of 90. Thus, our equation

becomes

.
We will now determine the value of x when y equals 4.5.
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