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)

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.