Answer:
P = 5
Step-by-step explanation:
given that P is inversely proportional to w then the equation relating them is
P = [tex]\frac{k}{w}[/tex] ← k is the constant of variation
To find k use the condition P = [tex]\frac{10}{13}[/tex] when w = [tex]\frac{1}{8}[/tex]
k = Pw = [tex]\frac{10}{13}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{10}{104}[/tex] = [tex]\frac{5}{52}[/tex]
Hence
P = [tex]\frac{5}{52w}[/tex] ← equation of variation
When w = [tex]\frac{1}{52}[/tex] then
P = [tex]\frac{5}{52(1/52)}[/tex] = [tex]\frac{5}{1}[/tex] = 5
