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...
icon
Related questions
Question
Help. I do not know how to figure this out.
### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning