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

Answer:
Step-by-step explanation:
Find first the constant of variation.
Given: x = 3, y = 4
Find: k = ?
Formula:
[tex]y = \frac{k}{x} [/tex]
Solution:
[tex]y = \frac{k}{x} \\ 4 = \frac{k}{3} \\ 12 = k[/tex]
Then, find the value of y in the third box.
Given: x = 24, k = 12
Find: y = ?
Formula:
[tex]y = \frac{k}{x} [/tex]
Solution:
[tex]y = \frac{k}{x} \\ y = \frac{12}{24} \\ y = \frac{1}{2} \\\boxed{y = 0.5}[/tex]