Answer:
y = 8
Step-by-step explanation:
Given y varies inversely as 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 = 4 when x = - 8
4 = [tex]\frac{k}{-8}[/tex] ( multiply both sides by - 8 )
- 32 = k
y = [tex]\frac{-32}{x}[/tex] ← equation of variation
When x = - 4 , then
y = [tex]\frac{-32}{-4}[/tex] = 8
