Question

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?

Answer 1

`(1):` Inverse Variation Eqn is, `xy=72.6`.

`(2)` : y=15#.

Explanation:

Given that, `y prop 1/x rArr xy=k=`const. of variation`!=0`.

To determine `k`, we use the data`: 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`.