If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 4.
Since x varies inversely to y, we can express this relationship
⇒ x × y = k
where k is a constant
Here, x = 2 when y = 6
Now,
⇒ 2 × 6 = k
⇒ k = 12
Now, we use the value of k to find y when x = 3
⇒ 3 × y = 12
⇒ y = 12/3 = 4
Thus, the value of y when x = 3 is 4