Emily is observing the growth of a bacteria culture in a lab. Initially, there are 100 bacteria in the culture. After 1 hour, the number of bacteria doubles to 200. After 2 hours, it doubles again to 400. What will the number of bacteria be after 12 hours?
A. 14,400 bacteria
B. 409,600 bacteria
C. 1,200 bacteria
D. 120,000 bacteria
B. 409,600 bacteria
The number of bacteria doubles every hour, so after 12 hours it will have doubled 12 times:
100 * 2^12 = 409,600 bacteria
is this right
Apologies for the mistake in the previous response. Let's correct it:
Initially, there are 100 bacteria in the culture. After 1 hour, the number of bacteria doubles to 200. After 2 hours, it doubles again to 400. We can see that the number of bacteria doubles every hour.
After 3 hours: 400 * 2 = 800
After 4 hours: 800 * 2 = 1,600
After 5 hours: 1,600 * 2 = 3,200
After 6 hours: 3,200 * 2 = 6,400
After 7 hours: 6,400 * 2 = 12,800
After 8 hours: 12,800 * 2 = 25,600
After 9 hours: 25,600 * 2 = 51,200
After 10 hours: 51,200 * 2 = 102,400
After 11 hours: 102,400 * 2 = 204,800
After 12 hours: 204,800 * 2 = 409,600
So, the correct answer is:
B. 409,600 bacteria