A particular type of bacteria is found capable of doubling in number 49.4 minutes. every N of bacteria to be about The number could Suppose No = 600,000 number bacteria N(t) = N₂₂ 0.014t after + minuters present be modeled by N(t) = N₂ e the initial 600,000 doubling 49.4 minutes. After 4 hours -how. per milliliter -how many bacteric
A particular type of bacteria is found capable of doubling in number 49.4 minutes. every N of bacteria to be about The number could Suppose No = 600,000 number bacteria N(t) = N₂₂ 0.014t after + minuters present be modeled by N(t) = N₂ e the initial 600,000 doubling 49.4 minutes. After 4 hours -how. per milliliter -how many bacteric
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Bacterial Growth Model
A particular type of bacteria is capable of doubling in number approximately every 49.4 minutes. The number \( N(t) \) of bacteria present after \( t \) minutes can be modeled by the equation:
\[ N(t) = N_0 e^{0.014t} \]
Where:
- \( N_0 \) is the initial number of bacteria.
- In this case, \( N_0 = 600,000 \).
#### Doubling Time
- The bacteria doubles every 49.4 minutes.
#### Problem
- Calculate the number of bacteria after 4 hours (240 minutes) per milliliter.
```plaintext
(Note: The continuation text at the bottom is unclear and not relevant to the mathematical content provided.)
```
This model provides a way to understand exponential growth in bacterial populations using mathematical equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fa757ec-9ef0-41e2-a2d2-ee98e8402c6d%2Fdc8bdb4e-0b90-4417-93c5-90c903f58e89%2Fj775v5c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Bacterial Growth Model
A particular type of bacteria is capable of doubling in number approximately every 49.4 minutes. The number \( N(t) \) of bacteria present after \( t \) minutes can be modeled by the equation:
\[ N(t) = N_0 e^{0.014t} \]
Where:
- \( N_0 \) is the initial number of bacteria.
- In this case, \( N_0 = 600,000 \).
#### Doubling Time
- The bacteria doubles every 49.4 minutes.
#### Problem
- Calculate the number of bacteria after 4 hours (240 minutes) per milliliter.
```plaintext
(Note: The continuation text at the bottom is unclear and not relevant to the mathematical content provided.)
```
This model provides a way to understand exponential growth in bacterial populations using mathematical equations.
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