### World Population StudyThe function given by the formula:\[ f(x) = 0.000478x^2 - 1.813x + 1720.1 \]models world population in billions from 1950 to 2025.#### a) Evaluate $ f(1985) $ and interpret the result.- Substitute $ x = 1985 $ in the given function and calculate the value of $ f(1985) $.- The calculated value represents the estimated world population in billions in the year 1985.#### b) Estimate the world population today.- Substitute the current year (e.g., 2023) into the function and calculate the value of $ f $ for this year.- This provides an estimate of the current world population in billions.#### c) According to this model, when did the world population reach 7 billion?- Solve for $ x $ when $ f(x) = 7000 $ (7 billion) using the given quadratic equation.- This will provide the year when the world population is estimated to have reached 7 billion.#### d) Discuss the implication presented by the difference in your answers in parts a and b.- Compare the results obtained from parts a) and b).- Analyze the implications of these results in terms of historical and current population trends, rate of growth, and the accuracy of the model predictions.### Further AnalysisFor detailed calculations and interpretations, please refer to the specific methodology and steps involved in solving quadratic equations, as well as population growth theories and their implications.

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Description: ### World Population StudyThe function given by the formula:\[ f(x) = 0.000478x^2 - 1.813x + 1720.1 \]models world population in billions from 1950 to 2025.#### a) Evaluate $ f(1985) $ and interpret the result.- Substitute $ x = 1985 $ in the gi

In this question we have to find population for the following year.

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30) World Population: The function given by the formula f(x)= 0.000478x-1.813x + 1720.1 models world population in billions from 1950 to 2025. a) Evaluate f(1985) and interpret the result. b) Estimate the world population today. c) According to tis model, when did the world population reach 7 billion? d) Discuss the implication presented by the difference in your answers in part a and b.

30) World Population: The function given by the formula f(x)= 0.000478x-1.813x + 1720.1 models world population in billions from 1950 to 2025. a) Evaluate f(1985) and interpret the result. b) Estimate the world population today. c) According to tis model, when did the world population reach 7 billion? d) Discuss the implication presented by the difference in your answers in part a and b.

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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### World Population Study

The function given by the formula:
\[ f(x) = 0.000478x^2 - 1.813x + 1720.1 \]
models world population in billions from 1950 to 2025.

#### a) Evaluate $ f(1985) $ and interpret the result.
- Substitute $ x = 1985 $ in the given function and calculate the value of $ f(1985) $.
- The calculated value represents the estimated world population in billions in the year 1985.

#### b) Estimate the world population today.
- Substitute the current year (e.g., 2023) into the function and calculate the value of $ f $ for this year.
- This provides an estimate of the current world population in billions.

#### c) According to this model, when did the world population reach 7 billion?
- Solve for $ x $ when $ f(x) = 7000 $ (7 billion) using the given quadratic equation.
- This will provide the year when the world population is estimated to have reached 7 billion.

#### d) Discuss the implication presented by the difference in your answers in parts a and b.
- Compare the results obtained from parts a) and b).
- Analyze the implications of these results in terms of historical and current population trends, rate of growth, and the accuracy of the model predictions.

### Further Analysis
For detailed calculations and interpretations, please refer to the specific methodology and steps involved in solving quadratic equations, as well as population growth theories and their implications.

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