Question

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

Answer 1

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

Answer 2

Problem Solving:-

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

Solution:-

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

Substitute the values to find k:

$\sf\rightarrow{y= \frac{k}{x} }$

$\sf\rightarrow{6= \frac{k}{18} }$

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

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

Answer:-

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

${\huge{\color{blue}{━━━━━━━━━━━━}}}$

#CarryOnMath⸙