Answer:
[tex]\huge\boxed{\sf y = 3}[/tex]
Step-by-step explanation:
Given that:
[tex]\displaystyle y \propto \frac{1}{x}[/tex]
Converting proportionality into equality
[tex]\displaystyle y = \frac{k }{x}[/tex] ------------------------- (1)
We know that:
y = 18 when x = 4
Put in Eq. (1)
[tex]\displaystyle 18 = \frac{k}{4} \\\\Multiply \ 4 \ to \ both \ sides\\\\18 \times 4 = k\\\\72 = k\\\\ \boxed{k = 72}[/tex]
Now,
y = ? when x = 24
Put in Eq. (1)
[tex]\displaystyle y = \frac{72}{24} \\\\\boxed{y = 3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
