Question

If Y is directly proportional to the cube of X and Y=2 when X=1/2, find Y when X=3

Answer 1

[AI-generated answer — Bot GPT 3.5]

If Y is directly proportional to the cube of X, we can write the equation as Y = kX^3, where k is the constant of proportionality.

To find the value of k, we can plug in the given values: Y = 2 and X = 1/2.
2 = k(1/2)^3
2 = k*(1/8)
k = 16.

Now that we have the value of k, we can use it to find Y when X = 3.
Y = 16 * 3^3
Y = 16 * 27
Y = 432.

Therefore, Y = 432 when X = 3.