Answer:
A)4000bacteria b) 500*2^(t/2) c) 362039 bacteria
Explanation:
The bacteria population doubles every 2hrs.
Initial population = 500 bacteria
After 6hours, it will undergo 3 generations since
6hours /2hrs = 3.
That means it has doubled its population three times
Initial is 500
After 2hrs = 1000bacteria, 4hrs = 2000 bacteria,
6hrs = 4000 bacteria
B) after 2hrs, the population is 500*2^1,
After 4hrs, the population is 500* 2^2,
After 6hrs, the population is 500*2^3
Which is the same as 500*2^(6/2)
Then after t hours, the population is 500*2^(t/2)
C) after 19 hours, the populations = 500*2^(19/2)
= 362038.67 approx 362039 bacteria
