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
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
3 answers
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
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