Answer:
y = [tex]\frac{24}{\sqrt{x} }[/tex]
Step-by-step explanation:
given y varies inversely as [tex]\sqrt{x}[/tex] then th equation relating them is
y = [tex]\frac{k}{\sqrt{x} }[/tex] ← k is the constant of variation
to find k use the condition y = 8 when x = 9 , then
8 = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
24 = k
y = [tex]\frac{24}{\sqrt{x} }[/tex] ← equation of variation
