17. The equation A = 400(3)* models the growth of bacteria over time. Let A = the amount of bacteria and let x = one hour intervals. What does the 3 mean in the context of the scenario? A. There are three bacteria at the beginning of the experiment. B. There amount of bacteria triples every hour. C. The amount of bacteria doubles every 3 hours. D. The amount of bacteria triples every 400 minutes.

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Chapter1: Functions And Models
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**Understanding Bacteria Growth: An Educational Insight**

**Growth Model Equation:**
The equation \( A = 400(3)^x \) models the growth of bacteria over time. 

**Variables Defined:**
- \( A \) represents the amount of bacteria.
- \( x \) represents one-hour intervals.

**Question:**
What does the 3 mean in the context of the scenario?

**Multiple Choice Answers:**
A. There are three bacteria at the beginning of the experiment.  
B. The amount of bacteria triples every hour.  
C. The amount of bacteria doubles every 3 hours.  
D. The amount of bacteria triples every 400 minutes.

**Explanation:**
The coefficient 3 in the equation \( A = 400(3)^x \) indicates the growth factor of the bacteria per hour. Specifically, it means the amount of bacteria triples every hour.

**Correct Answer:**
B. The amount of bacteria triples every hour.
Transcribed Image Text:**Understanding Bacteria Growth: An Educational Insight** **Growth Model Equation:** The equation \( A = 400(3)^x \) models the growth of bacteria over time. **Variables Defined:** - \( A \) represents the amount of bacteria. - \( x \) represents one-hour intervals. **Question:** What does the 3 mean in the context of the scenario? **Multiple Choice Answers:** A. There are three bacteria at the beginning of the experiment. B. The amount of bacteria triples every hour. C. The amount of bacteria doubles every 3 hours. D. The amount of bacteria triples every 400 minutes. **Explanation:** The coefficient 3 in the equation \( A = 400(3)^x \) indicates the growth factor of the bacteria per hour. Specifically, it means the amount of bacteria triples every hour. **Correct Answer:** B. The amount of bacteria triples every hour.
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