Question

If y varies inversely as a, and x = 24 when y = 1. Find y when x = 3.

Answer 1

Plug in numbers

3=24•1/x

3=24/x

Divide both side by 3

X=8, X ≠ 0


Check if the solution is in the defined range.


Solution


X= 8

Answer 2

`\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill`

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