Answer :

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