1. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

Question

asked Oct 12, 2022 137k views

2 Answers

Bherbruck · Answer 1 · 2022-10-14T09:58:48+0000

$\sf{The \: relation \: y \: varies \: inversely \: as \: x \: translates \: to \: y = (k)/(x).}$

Substitute the values to find k:

$\sf\rightarrow{y= (k)/(x) }$

$\sf\rightarrow{6= (k)/(18) }$

$\sf\rightarrow{k=(6)(18)}$

$\sf\rightarrow{K={\color{magenta}{108}}}$

$\sf{The \: equation \: of \: variations \: is \: y={ \color{red}{ (108)/(x) }}}$

${\huge{\color{blue}{━━━━━━━━━━━━}}}$

#CarryOnMath⸙

Hendrra · Answer 2 · 2022-10-17T19:57:51+0000

An inverse function is y = k/x

replace x and y with the given values:

6 = k/18

Solve for k by multiplying both sides by 18:

k = 108