Question

suppose y varies directly with x.If y=3 when x=2 find y when x=3

Answer 1

i think for these you are supposed to write \(y=kx\) and then substitute to solve for \(k\)

Answer 2

yea but i never know how to do it

Answer 3

in other words you know \(y=kx\) and you are told if \(x=2\) then \(y=3\) so you solve
\[3=k\times 2\] and get \[k=\frac{3}{2}\]

Answer 4

so your variation looks like
\[y=\frac{3}{2}x\]

Answer 5

then replace \(x\) by 3 to get your answer

Answer 6

does that seem right?

Answer 7

s0 its 9/2