The count in a bacteria culture was 100 after 10 minutes and 1900 after 40 minutes. Assuming the count grows exponentially, What was the initial size of the culture? 18.97 Find the doubting period. 7.07 Find the population after 95 minutes. 211850 When will the population reach 14000.
The count in a bacteria culture was 100 after 10 minutes and 1900 after 40 minutes. Assuming the count grows exponentially, What was the initial size of the culture? 18.97 Find the doubting period. 7.07 Find the population after 95 minutes. 211850 When will the population reach 14000.
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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![The image contains a series of questions related to exponential growth in a bacteria culture. Below is the transcription with explanations for each section:
---
**Problem Statement:**
The count in a bacteria culture was 100 after 10 minutes and 1900 after 40 minutes. Assuming the count grows exponentially:
1. **What was the initial size of the culture?**
- Answer: 18.97
2. **Find the doubling period.**
- Answer: 7.07
3. **Find the population after 95 minutes.**
- Answer: 211850
4. **When will the population reach 14000?**
- Answer: [Not provided, indicated with an empty box]
---
*Explanation:*
- The calculations involve understanding exponential growth, characterized by an initial amount that increases by a consistent percentage over equal time intervals.
- The initial size of the culture serves as the starting point to calculate future growth.
- The doubling period indicates how long it takes for the population to double.
- By using exponential growth formulas, the population at any given time and when it reaches a specific number can be calculated.
There are no graphs or diagrams included in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bb63943-7839-43c1-b3a8-054c60027bd4%2F242d97f8-65e5-4976-8b1e-7402d2f54ed6%2Fji9578q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a series of questions related to exponential growth in a bacteria culture. Below is the transcription with explanations for each section:
---
**Problem Statement:**
The count in a bacteria culture was 100 after 10 minutes and 1900 after 40 minutes. Assuming the count grows exponentially:
1. **What was the initial size of the culture?**
- Answer: 18.97
2. **Find the doubling period.**
- Answer: 7.07
3. **Find the population after 95 minutes.**
- Answer: 211850
4. **When will the population reach 14000?**
- Answer: [Not provided, indicated with an empty box]
---
*Explanation:*
- The calculations involve understanding exponential growth, characterized by an initial amount that increases by a consistent percentage over equal time intervals.
- The initial size of the culture serves as the starting point to calculate future growth.
- The doubling period indicates how long it takes for the population to double.
- By using exponential growth formulas, the population at any given time and when it reaches a specific number can be calculated.
There are no graphs or diagrams included in the image.
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