Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.

y = 11.

Step-by-step explanation:

y = kx is direct variation, where k is a constant.

When x = 24 y = 8 so we have

8 = k*24

k = 8/24 = 1/3.

So the relation is y = (1/3) k.

When x = 33,

y = (1/3) * 33

So y = 11.