1.) suppose y varies directly as x.if x=24 when y=8 then what is the constant of variation?

Question

2.) suppose y varies inversely as x if x=4 when y=8 then what is the constant of variation?

Answer 1

I think this is the answer you are looking for: (it is late here and I'm late to bed...lol)

If y varies directly with x, find the constant of variation with x = 24 and y = 8
k = y/x = 8/24 = .333...

If y varies inversely with x, find the constant of variation with x=4 and y = 8
k = xy = 4*8 = 32

Answer 2

I will check back later today. Try to check my answers for me...and make corrections to make sure we have it right for the next person that needs the answers. Thanks

Answer 3

"y varies directly as x" ---> y = kx
if x=24, y= 8
8 = 24k
k = 8/24 = 1/3 <---- answer
so y = (1/3)x

"y varies inversely as x" ---> y = k(1/x) = k/x
for x=4 and y=8
8 = k/4
k = 32 <---- the constant of variation
y = 32/x

Claire was right.

Answer 4

If y varies inversely as X and y=4 when X=2,

What Is the constant of variation

Find y when X=2.

Find X when y=2.