Answer:
y = 1
Step-by-step explanation:
Given that y varies inversely with 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 = 25 when x = [tex]\frac{1}{5}[/tex] , then
25 = [tex]\frac{k}{\frac{1}{5} }[/tex] = 5k ( divide both sides by 5 )
5 = k
y = [tex]\frac{5}{x}[/tex] ← equation of variation
When x = 5, then
y = [tex]\frac{5}{5}[/tex] = 1
