Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

$y = \frac{k}{x}$

Solution:

$y = \frac{k}{x} \\ 4 = \frac{k}{3} \\ 12 = k$

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

Given: x = 24, k = 12

Find: y = ?

Formula:

$y = \frac{k}{x}$

Solution:

$y = \frac{k}{x} \\ y = \frac{12}{24} \\ y = \frac{1}{2} \\\boxed{y = 0.5}$