Question

if we know that y varies inversely as x and y=8 when x=15, what is y when x=10 what is the constant of variation

Answer 1

i think i remember how this works
start with
\[y=kx\] then put \(y=8,x=15\) and get
\[8=k\times 15\]

Answer 2

solve for \(k\) giving \[k=\frac{8}{15}\] so the variation is
\[y=\frac{8}{15}x\]

Answer 3

finally put \(x=10\) and compute
\[y=\frac{8}{15}\times 10\]

Answer 4

its going to be y= (8/10)x {{Same as what the other person said}}