Answer:
y = 46
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 = 23 when x = 8 , then
23 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
184 = k
y = [tex]\frac{184}{x}[/tex] ← equation of variation
When x = 4 , then
y = [tex]\frac{184}{4}[/tex] = 46
