**Growth of Bacteria in a Culture** A lab calculates that the number of bacteria, \( N \), in a culture grows according to the function: \[ N(t) = 600e^{0.051t} \] where \( t \) is the number of hours since the start of the experiment. **Questions:** a. **Initial Bacteria Count:** How many bacteria were there initially (at the start of the experiment)? [Input field for bacteria count] b. **Bacteria Count After 90 Minutes:** How many bacteria are there 90 minutes after the start of the experiment? Round to the nearest whole number. Be careful with units. [Input field for bacteria count] c. **Doubling Time:** In order to find the doubling time of the bacteria, you would solve the equation: \[ 600e^{0.051t} = \] [Input field for equation setup] **Answers:** | Question | Answer | |----------|--------| | | | *Note: There are no graphs or diagrams in this content.*

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Growth of Bacteria in a Culture**

A lab calculates that the number of bacteria, \( N \), in a culture grows according to the function:

\[ N(t) = 600e^{0.051t} \]

where \( t \) is the number of hours since the start of the experiment.

**Questions:**

a. **Initial Bacteria Count:**

   How many bacteria were there initially (at the start of the experiment)?

   [Input field for bacteria count]

b. **Bacteria Count After 90 Minutes:**

   How many bacteria are there 90 minutes after the start of the experiment? Round to the nearest whole number. Be careful with units.

   [Input field for bacteria count]

c. **Doubling Time:**

   In order to find the doubling time of the bacteria, you would solve the equation:

   \[ 600e^{0.051t} = \]

   [Input field for equation setup]

**Answers:**

| Question | Answer |
|----------|--------|
|          |        |

*Note: There are no graphs or diagrams in this content.*
Transcribed Image Text:**Growth of Bacteria in a Culture** A lab calculates that the number of bacteria, \( N \), in a culture grows according to the function: \[ N(t) = 600e^{0.051t} \] where \( t \) is the number of hours since the start of the experiment. **Questions:** a. **Initial Bacteria Count:** How many bacteria were there initially (at the start of the experiment)? [Input field for bacteria count] b. **Bacteria Count After 90 Minutes:** How many bacteria are there 90 minutes after the start of the experiment? Round to the nearest whole number. Be careful with units. [Input field for bacteria count] c. **Doubling Time:** In order to find the doubling time of the bacteria, you would solve the equation: \[ 600e^{0.051t} = \] [Input field for equation setup] **Answers:** | Question | Answer | |----------|--------| | | | *Note: There are no graphs or diagrams in this content.*
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