Answer:
t = 4
Step-by-step explanation:
given x varies inversely as t , then the equation relating them is
x = [tex]\frac{k}{t}[/tex] ← k is the constant of variation
To find k use the condition x = 8 when t = 6 , then
8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
48 = k
x = [tex]\frac{48}{t}[/tex] ← equation of variation
when x = 12 , then
12 = [tex]\frac{48}{t}[/tex] ( multiply both sides by t )
12t = 48 ( divide both sides by 12 )
t = 4
