Answer:
y = 3
Step-by-step explanation:
given y is inversely proportional to 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 = 8 when x = 3
k = yx = 8 × 3 = 24
y = [tex]\frac{24}{x}[/tex] ← equation of variation
When x = 8, then
y = [tex]\frac{24}{8}[/tex] = 3
[tex]y \: = k \: \frac{1}{x} \: \\ where \: k \: is \: some \: constant[/tex]
for x = 3 y = 8
lets put it in equation
8 = k × (1/3)
k = 8×3=24
so now for x = 8
y = k/x = 24/ 8 = 3
