Respuesta :
Answer:
y = [tex]\frac{1}{x}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then
3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )
3 × [tex]\frac{1}{3}[/tex] = k
1 = k
y = [tex]\frac{1}{x}[/tex] ← equation of variation
