Question

X and y vary inversely. If x is 3 when y is 12, find the equation to model this situation

Answer 1

`x = (36)/(y)`

Explanation:

We are given the following in the question:

x and y vary inversely.

`x\propto (1)/(y)`

Removing the sign of proportionality and adding the constant of proportionality, we get,

`x = k* (1)/(y) = (k)/(y)`

where k is the constant of proportionality.

When x = 3, y = 12

Putting these value in the equation, we get,

`3 = (k)/(12)\\\\\Rightarrow k = 12* 3 = 36`

Putting value of k, we get,

`x = (36)/(y)`

which is the required equation to model the given situation.