Separating variables, we have

Integrate both sides.


Given that
, we find

Then the particular solution is



and because
, we take the negative solution to accommodate this initial value.

Yes it is a natural number
It triples in size every 4 days. In 16 days it will be 3 * 3 * 3 * 3 times bigger.
3 * 3 * 3 * 3 = 81
Therefore, after 16 days, the colony will contain (81 * 150) or 12,150 microorganisms.
STEP 1:
Find the $ total sold. Multiply total pounds by $2 sale price per pound.
=4,913,977 pounds * $2 a pound
=$9,827,954 total sold
STEP 2:
Divide the total sold above by the 325 shrimpers.
=$9,827,954 ÷ 325
=$30,239.858
Rounded to nearest dollar:
Each of the 325 shrimpers will take home $30,240.
Hope this helps! :)