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
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**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.
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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