Question

ғɪɴᴅ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴀɴᴅ sᴏʟᴠᴇ ғᴏʀ ᴋ: ʏ ᴠᴀʀɪᴇs ɪɴᴠᴇʀsᴇʟʏ ᴀs x ᴀɴᴅ ʏ = 6 ᴡʜᴇɴ x = 18.​

Answer 1

ᴘʀᴏʙʟᴇᴍ:-

ғɪɴᴅ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴀɴᴅ sᴏʟᴠᴇ ғᴏʀ ᴋ: ʏ ᴠᴀʀɪᴇs ɪɴᴠᴇʀsᴇʟʏ ᴀs x ᴀɴᴅ ʏ = 6 ᴡʜᴇɴ x = 18.

sᴏʟᴜᴛɪᴏɴ:-

The relation y varies inversely as x translate to,

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

To find k, we have to substitute the values:

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

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

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

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

ᴀɴsᴡᴇʀ:-

$\begin{gathered}\begin{gathered}\begin{gathered}\sf{{The\:equation \: of \: variation\: is\:{y = \frac{108}{x}}}}\\ \end{gathered}\end{gathered} \end{gathered}$

$\large{———————————————{———————}}$

#CarryOnMath⸙

✍Zenitsu2