A bacteria culture starts with 1 bacterium on Day one and doubles in size every day, so at Day 2 there are 2 bacteria; Day 3: 4 bacteria; Day 4: 8 bacteria; Day 5: 16 bacteria, etc. etc. So, by Day 10 there were 1024 bacteria. How many days does it take to have half the amount on accrued on Day 10?
A bacteria culture starts with 1 bacterium on Day one and doubles in size every day, so at Day 2 there are 2 bacteria; Day 3: 4 bacteria; Day 4: 8 bacteria; Day 5: 16 bacteria, etc. etc. So, by Day 10 there were 1024 bacteria. How many days does it take to have half the amount on accrued on Day 10?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:**Bacteria Problem**
A bacteria culture starts with 1 bacterium on Day 1 and doubles in size every day, so at Day 2 there are 2 bacteria; Day 3: 4 bacteria; Day 4: 8 bacteria; Day 5: 16 bacteria, etc. By Day 10 there were 1024 bacteria. How many days does it take to have half the amount accrued on Day 10?
**Explanation of Diagrams:**
1. **First Diagram (Left Side):**
- Shows two test tubes.
- The first test tube contains a small number of bacteria.
- The second test tube has a significantly larger number of bacteria, illustrating the growth.
2. **Second Diagram (Right Side):**
- Depicts four petri dishes with bacteria colonies.
- Each dish shows varying sizes of bacterial growth, demonstrating different stages or conditions of bacterial cultures.
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