Answer:
w = 1.6
Step-by-step explanation:
Given w varies inversely as [tex]\sqrt{x}[/tex] then the equation relating them is
w = [tex]\frac{k}{\sqrt{x} }[/tex] ← k is the constant of variation
To find k use the condition when x = 4, w = 4
k = w[tex]\sqrt{x}[/tex] = 4 × [tex]\sqrt{4}[/tex] = 4 × 2 = 8
w = [tex]\frac{8}{\sqrt{x} }[/tex] ← equation of variation
When x = 25, then
w = [tex]\frac{8}{\sqrt{25} }[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
