Answer:
y = 0.25
Step-by-step explanation:
Given y varies directly as x and inversely as the square of z then the equation relating them is
y = [tex]\frac{kx}{z^2}[/tex] ← k is the constant of variation
To find k use the condition y = 48 when x = 100 and z = 5
k = [tex]\frac{yz^2}{x}[/tex] = [tex]\frac{48(25)}{100}[/tex] = 12
y = [tex]\frac{12x}{z^2}[/tex] ← equation of variation
When x = 3 and z = 12, then
y = [tex]\frac{12(3)}{144}[/tex] = 0.25
