Question

y varies inversely as three times x. When x = 6, y = 4. Find x when y = 8.

Answer 1

I really dont understand what it means when Y varies inversely as three times X

Answer 2

pretty sure it means
\[y=\frac{k}{3x}\]

Answer 3

Y=k/3x

Answer 4

that is what it is.

Answer 5

yes but I dont know how to solve it

Answer 6

to solve for \(k\) put
\[4=\frac{k}{3\times 6}\]

Answer 7

that means
\[4=\frac{k}{18}\iff k=18\times 4=72\]

Answer 8

what is X when Y = 8

Answer 9

since
\[y=\frac{72}{3x}=\frac{24}{x}\] your job is to solve
\[8=\frac{24}{x}\] for \(x\)

Answer 10

you know how to do that?

Answer 11

X=3

Answer 12

yes

Answer 13

Thank You so much!

Answer 14

yw