For this case we have that by definition, a direct variation can be represented as:
[tex]G = kt[/tex]
Where:
k: It is the constant of proportionality
According to the data we have to:
[tex]6000 = k (5)\\k = \frac {6000} {5}\\k = 1200[/tex]
So, to find the number of gears in 6 hours we have:
[tex]G = 1200 (6)\\G = 7200[/tex]
Thus, the number of gears in 6 hours is 7200.
Answer:
[tex]G = 7200[/tex]
