Question

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Answer 1

x2 = 60

Explanation:

If the variables x and y are inversely proportional, the product x * y is a constant.

So using x1 and y1 we can find the value of this constant:

`x1 * y1 = k`

`12 * 15 = k`

`k = 180`

Now, we can use the same constant to find x2:

`x2 * y2 = k`

`x2 * 3 = 180`

`x2 = 180 / 3 = 60`

So the value of x2 is 60.