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Sagot :
[tex] \qquad \qquad \huge\text{Anѕwer}♨[/tex]
Let's Solve ~
❖ Aѕ givєn in thє quєѕtiσn, ч vαriєѕ invєrѕєlч with х, thiѕ єхprєѕѕiσn cαn вє rєprєѕєntєd αѕ :
[tex] \qquad \Rrightarrow \rm y \propto \dfrac{1}{x} [/tex]
➻ To rєplαcє prσpσrtiσnαlitч ѕign with єquαlѕ tσ, wє hαvє tσ uѕє α cσnѕtαnt (k)
[tex] \qquad \Rrightarrow \rm y = k \times\dfrac{1}{x} [/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = k[/tex]
➻ nσw, plug in vhє vαluєѕ σf х αnd ч fσr α ѕpєcific inѕtαnt, thαt'ѕ givєn in thє quєѕtiσn ~
- х = 6, whєn ч = 8
[tex] \qquad \Rrightarrow \rm \dfrac{}{} 6 \times 8 = k[/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} k = 48[/tex]
thєrєfσrє, vαluє σf prσpσrtiσnαlч cσnѕtαnt iѕ 48
➼ ѕσ, thє rєquirєd єхprєѕѕiσn will вє :
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = 48[/tex]
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