Question

If y varies inversely with x, and for y=1,x=3 find y if x=9

Answer 1

Note that "y varies inversely with x" means xy = k, for a constant k. That is the definition. If x = 3 and y = 1, we know k = 3. Can you finish from here?

Answer 2

okay, so if k=3 then y=3
because ky=3

Answer 3

well inverse variation starts with

\[y = \frac{k}{x}\]

you have found k

so now substitute x = 9 into the equation to find y

Answer 4

so \[y=\frac{ 1 }{ 3 }\]

Answer 5

that's correct

Answer 6

thanks