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:

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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**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:**
\[ \boxed{} \]
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.
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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