Answer:
t = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Given that t varies inversely as the square root of u then the equation relating them is
t = [tex]\frac{k}{\sqrt{u} }[/tex] ← k is the constant of variation
To find k use the condition t = 3 when u = 4, thus
k = t[tex]\sqrt{u}[/tex] = 3 × [tex]\sqrt{4}[/tex] = 3 × 2 = 6
t = [tex]\frac{6}{\sqrt{u} }[/tex] ← equation of variation
When u = 49, then
t = [tex]\frac{6}{\sqrt{49} }[/tex] = [tex]\frac{6}{7}[/tex]
