Question

Find an equation of variation for the given situation. Y varie inversely as x; y=48 when x=8

Answer 1

So we know:
\[y\propto\frac{1}{x}\rightarrow y=\frac{k}{x};k\in R\]
So then we know:
\[y=\frac{k}{x}\rightarrow48=\frac{k}{8}\rightarrow48(8)=k=384\]
So therefore:
\[y=\frac{384}{x}\]