Answer:
t = 24
Step-by-step explanation:
Given that t varies inversely with a then the equation relating them is
t = [tex]\frac{k}{a}[/tex] ← k is the constant of variation
To find k use the condition t = 2 when a = 36, that is
2 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
72 = k
t = [tex]\frac{72}{a}[/tex] ← equation of variation
Given a = 3, then
t = [tex]\frac{72}{3}[/tex] = 24
