The population of a small town, P, is initially 23,400. It decreases by 200 people per year. Which of the following linear equation models the population of this town? O P= 23400 – 200t o P= 23400 + 200t O P= 200 + 23400t o P= 200 – 23400t
The population of a small town, P, is initially 23,400. It decreases by 200 people per year. Which of the following linear equation models the population of this town? O P= 23400 – 200t o P= 23400 + 200t O P= 200 + 23400t o P= 200 – 23400t
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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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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Question
![**Question:**
The population of a small town, \( P \), is initially 23,400. It decreases by 200 people per year. Which of the following linear equation models the population of this town?
**Options:**
- \( \circ \) \( P = 23400 - 200t \)
- \( \circ \) \( P = 23400 + 200t \)
- \( \circ \) \( P = 200 + 23400t \)
- \( \circ \) \( P = 200 - 23400t \)
---
**Explanation:**
In the given problem, the population \( P \) of the town decreases linearly over time. The initial population is 23,400, and the population decreases by 200 people each year, represented as \( t \). Therefore, the correct linear equation that models the population of the town is:
\[ P = 23400 - 200t \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F882c71c8-a3eb-4cc5-9d5e-6f9c46c87e68%2F5e30628f-1e78-434b-8dc9-c21c1d6f5037%2Fqj5m92_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
The population of a small town, \( P \), is initially 23,400. It decreases by 200 people per year. Which of the following linear equation models the population of this town?
**Options:**
- \( \circ \) \( P = 23400 - 200t \)
- \( \circ \) \( P = 23400 + 200t \)
- \( \circ \) \( P = 200 + 23400t \)
- \( \circ \) \( P = 200 - 23400t \)
---
**Explanation:**
In the given problem, the population \( P \) of the town decreases linearly over time. The initial population is 23,400, and the population decreases by 200 people each year, represented as \( t \). Therefore, the correct linear equation that models the population of the town is:
\[ P = 23400 - 200t \]
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