Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

The initial number of bacteria in a culture is 12,000. The culture doubles each day. Determine how many bacteria are present after 6 days.

A. 72,000 bacteria
B. 768,000 bacteria
C. 76,800 bacteria
D. 384,000 bacteria

Sagot :

GinnyAnswer
To determine how many bacteria are present after 6 days, we need to understand the concept of exponential growth. In this scenario, the number of bacteria doubles every day.

Here's the step-by-step solution:

1. Identify the initial number of bacteria:
- The initial number of bacteria is 12,000.

2. Understand the doubling process:
- Each day, the number of bacteria doubles. This means we multiply the current number of bacteria by 2 every day.

3. Calculate the number of bacteria each day:
- Day 0 (initial day): 12,000 bacteria
- Day 1: [tex]\( 12,000 \times 2 = 24,000 \)[/tex] bacteria
- Day 2: [tex]\( 24,000 \times 2 = 48,000 \)[/tex] bacteria
- Day 3: [tex]\( 48,000 \times 2 = 96,000 \)[/tex] bacteria
- Day 4: [tex]\( 96,000 \times 2 = 192,000 \)[/tex] bacteria
- Day 5: [tex]\( 192,000 \times 2 = 384,000 \)[/tex] bacteria
- Day 6: [tex]\( 384,000 \times 2 = 768,000 \)[/tex] bacteria

4. Conclusion:
- After 6 days, the number of bacteria in the culture is 768,000.

Thus, the correct answer is:
768,000 bacteria.
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.