Mathematics, 24.09.2019 02:00 mackdoolittle1
Suppose that y varies inversely as x and that y=8 when x=3. calculate the value of y when x= 10.
Answers: 1
![\bf \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 } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}](/tpl/images/0256/7396/837d0.png)
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Suppose that y varies inversely as x and that y=8 when x=3. calculate the value of y when x= 10....
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