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? (1 point)

Question

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? (1 point)
Responses

120,000 bacteria
120,000 bacteria

14,400 bacteria
14,400 bacteria

1,200 bacteria
1,200 bacteria

409,600 bacteria

GPT-4o mini · Answer

The bacteria culture is doubling in number every hour. Starting with 100 bacteria, after each hour, the count can be calculated as follows:

After 1 hour: 100 * 2 = 200
After 2 hours: 200 * 2 = 400
After 3 hours: 400 * 2 = 800
After 4 hours: 800 * 2 = 1600
After 5 hours: 1600 * 2 = 3200
After 6 hours: 3200 * 2 = 6400
After 7 hours: 6400 * 2 = 12800
After 8 hours: 12800 * 2 = 25600
After 9 hours: 25600 * 2 = 51200
After 10 hours: 51200 * 2 = 102400
After 11 hours: 102400 * 2 = 204800
After 12 hours: 204800 * 2 = 409600

Thus, the number of bacteria after 12 hours will be 409,600 bacteria.