Answer:
see explanation
Step-by-step explanation:
Given that t and w vary inversely then the equation relating them is
t = [tex]\frac{k}{w}[/tex] ← k is the constant of variation
To find k use the condition t = [tex]\frac{1}{5}[/tex] when w = 4
k = tw = [tex]\frac{1}{5}[/tex] × 4 = [tex]\frac{4}{5}[/tex]
t = [tex]\frac{4}{5w}[/tex] ← equation of variation
When w = 9, then
t = [tex]\frac{4}{5(9)}[/tex] = [tex]\frac{4}{45}[/tex]
