If y varies directly as x and y=27 when x=32, find y if x=33.

When y varies directly as x, then the relation can be represented as

y=kx where k is a constant to be found.

In addition, if we know y=27 when x=32, we can solve for k.

27=k (32)

Solve for k:

k=27/32

=>

y = (27/32) x

Finally, if x=33, then

y = (27/32) * 33=891/32=27.84375=27.84 (rounded to the hundredth)