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?

Question

asked Jul 7, 2021 217k views

1 Answer

Mattia Galati · Answer 1 · 2021-07-13T10:51:48+0000

Answer:

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.