Question

If x varies inversely as t, and x = 8 when t = 6, find t when x = 12- =

Answer 1

Answer:

t = 4

Step-by-step explanation:

given x varies inversely as t , then the equation relating them is

x = $\frac{k}{t}$  ← k is the constant of variation

To find k use the condition x = 8 when t = 6 , then

8 = $\frac{k}{6}$ ( multiply both sides by 6 )

48 = k

x = $\frac{48}{t}$ ← equation of variation

when x = 12 , then

12 = $\frac{48}{t}$ ( multiply both sides by t )

12t = 48 ( divide both sides by 12 )

t = 4