Using the model for California's population growth since 2000 (x=0), f(x) = 33.8(1.014)*, where f(x) is measured in millions. What is the predicted population of California in 2010? Round your answer to the neares tenth of a million. Do not use spaces or commas in your answer. For example, if the answer is 46.3765million then enter your answer as: 46.4 Answer:
Using the model for California's population growth since 2000 (x=0), f(x) = 33.8(1.014)*, where f(x) is measured in millions. What is the predicted population of California in 2010? Round your answer to the neares tenth of a million. Do not use spaces or commas in your answer. For example, if the answer is 46.3765million then enter your answer as: 46.4 Answer:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**California's Population Growth Prediction**
Using the model for California's population growth since 2000 (\(x = 0\)), the function \(f(x) = 33.8(1.014)^x\) is given, where \(f(x)\) is measured in millions. To predict the population of California in 2010, plug \(x = 10\) into the model. Round your answer to the nearest tenth of a million.
**Example Calculation:**
If the calculated answer is 46.3765 million, enter it as: **46.4**
**Question:**
What is the predicted population of California in 2010?
**Answer:**
\[ \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16026111-938d-475f-a906-01f519f5a5a9%2Fc2b4a5e2-54d6-43e5-833d-204518e8bfe1%2Fave8r8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**California's Population Growth Prediction**
Using the model for California's population growth since 2000 (\(x = 0\)), the function \(f(x) = 33.8(1.014)^x\) is given, where \(f(x)\) is measured in millions. To predict the population of California in 2010, plug \(x = 10\) into the model. Round your answer to the nearest tenth of a million.
**Example Calculation:**
If the calculated answer is 46.3765 million, enter it as: **46.4**
**Question:**
What is the predicted population of California in 2010?
**Answer:**
\[ \boxed{} \]
![### Understanding Exponential Functions
The exponential function is an example of exponential growth.
\[ f(x) = 4^{1 - x} \]
#### Select one:
- True
- False
### Explanation:
The function \( f(x) = 4^{1 - x} \) is discussed to determine if it represents exponential growth. Exponential growth typically implies that as the value of \( x \) increases, the function \( f(x) \) increases exponentially.
Carefully analyze the given function and select whether the statement is True or False based on the behavior of the function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16026111-938d-475f-a906-01f519f5a5a9%2Fc2b4a5e2-54d6-43e5-833d-204518e8bfe1%2Fek2gi4g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Exponential Functions
The exponential function is an example of exponential growth.
\[ f(x) = 4^{1 - x} \]
#### Select one:
- True
- False
### Explanation:
The function \( f(x) = 4^{1 - x} \) is discussed to determine if it represents exponential growth. Exponential growth typically implies that as the value of \( x \) increases, the function \( f(x) \) increases exponentially.
Carefully analyze the given function and select whether the statement is True or False based on the behavior of the function.
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