19539 bacteria will be present after 18 hours
<u>Solution:</u>
Initial value of bacteria N = 6000
Value after 4 hours = 7800
<em><u>The standard exponential equation is given as:</u></em>
where
N is amount after time t
No is the initial amount
k is the constant rate of growth
t is time
Plugging in the values in formula we get,
Solving for "k" we get,
Taking "ln" on both sides, we get
On solving for ln, we get k = -0.0656
The equation becomes,
Now put "t" = 18,
Hence the bacteria present after 18 hours is 19539