Question

Y varies inversely with x. When x=3, then y=2. Find y when x=1.

Answer 1

when x=1, y=6.

Explanation:

If y varies inversely with x, it means that their product is a constant:

y x x = k

where k is the constant of variation.

To find the value of k, we can use the initial condition that when x=3, y=2:

2 x 3 = k

k = 6

Now we can use the value of k to find y when x=1:

y x 1 = 6

y = 6/1

y = 6

Therefore, when x=1, y=6.