Answer:
y = [tex]\frac{3}{x^3}[/tex]
Step-by-step explanation:
Given y is inversely proportional to x³ then the equation relating them is
y = [tex]\frac{k}{x^3}[/tex] ← k is constant of proportion
To find k use the condition when x = [tex]\frac{1}{2}[/tex] , y = 24
24 = [tex]\frac{k}{(\frac{1}{2}) ^{3} }[/tex] = [tex]\frac{k}{\frac{1}{8} }[/tex] = 8k ( divide both sides by 8 )
3 = k
y = [tex]\frac{3}{x^3}[/tex] ← equation of proportion
