Answer:
y = - 12.5
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 x = - 5 when y = 10, then
k = yx = 10 × - 5 = - 50
y = [tex]\frac{-50}{x}[/tex] ← equation of variation
When x = 4, then
y = [tex]\frac{-50}{4}[/tex] = - 12.5
