Question

In the table below, y varies inversely as x. What is the missing value?

Answer 1

The value of y is 0.5, so the answer is C.

Explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

`y = (k)/(x)`

Solution:

`y = (k)/(x) \\ 4 = (k)/(3) \\ 12 = k`

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

`y = (k)/(x)`

Solution:

`y = (k)/(x) \\ y = (12)/(24) \\ y = (1)/(2) \\\boxed{y = 0.5}`