If y varies inversely with x and y = 6 when x = 3, then what is y when x = 2?

A. 9

B. 12

C. 18

D. 36

Correct answer is A. 9

Step-by-step explanation:

If y varies inversely with x the formula reads y = k/x

where the k is coefficient of proportionality

Now we will replace x=3 and y=6 to find value of k

6 = k / 3 = > k = 6 · 3 = 18 = > k = 18

Now we will replace x=2 and get y

y = 18/2 = 9 = > y=9

God with you!