If y varies directly as x, and y equals=8 when x equals = 3 , find y when x equals=12.

If y varies directly as x, that means that y and x are proportional and here after the relation linking them:

y = k. x, where k is the coefficient of proportionality. Let's calculate k (constant):

8 = k. (3) and k = 8/3

Hence the value of y = (8/3). x, when x = 12 is:

y = (8/3). (12) → y = 32