If x varies inversely as y and x = 2 when y = 6, then the value of y when x =…

When two variables x and y vary inversely, it means their product is always a constant value, k. This relationship is expressed as:
x * y = k

Step-by-Step Calculation
Find the constant (k):
We are given that x = 2 when y = 6.
k = x * y
k = 2 * 6 = 12
The constant of variation is 12.

Solve for y when x = 3:
Now that we know k = 12, we can use the same relationship to find y for the new value of x:
x * y = k
3 * y = 12

Calculate y:
y = 12 / 3
y = 4