Given x varies inversely as y and x = 6 when y = - 4, find y when x = 8 .

Question

asked Dec 21, 2023 79.7k views

1 Answer

Sulay · Answer 1 · 2023-12-25T08:32:54+0000

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Given that x varies inversely with y, x=6 when y=-4, find y when x=8.

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

If x varies inversely with y, we divide.

So the formula looks as follows:-

$\bold{x=\displaystyle(k)/(y) }$

where k = constant of proportionality

Plug in the values:-

$\bold{6=\displaystyle(k)/(-4)}$

Multiply both sides by -4:-

$\bold{-24=k}$

Now find y when x=8:-

$\bold{8=\displaystyle(-24)/(y)}$

Multiply both sides by y:-

$\bold{8y=-24}$

Divide by 8 on both sides:-

$\dashrightarrow\bigstar{\boxed{\boxed{\underline{\bold{y=-3}}}}\dashleftarrow$

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