Question

Type the correct answer in the box. Use numerals instead of words. What is the missing value in the inverse variation given in the table?

Answer 1

48

Explanation:

If x varies inversely as y, we have:

`x \propto (1)/(y) \\\implies x = (k)/(y)`

When x=2, y=96

`2 = (k)/(96)\\k=192`

When x=8, y=24

`8 = (k)/(24)\\k=192`

Therefore, the constant of proportionality, k=192.

The equation connecting x and y is:

`x = (192)/(y)`

When x=4

`4 = (192)/(y)\\4y=192\\y=48`

The missing value in the inverse variation given in the table is 48.