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4.36 limited resources. There is evidence that growth has been slowing in recent years and that world population could peak some time this century, then start to decline. For this exercise, research world population growth issues online. Be sure to investigate various viewpoints. Get estimates for the current world population and its growth rate (the percentage by which it is likely to increase this year). Write a program that calculates world population growth each year for the next 75 years, using the simplifying assumption that the current growth rate will stay constant. Print the results in a table. The first column should display the year from year 1 to year 75. The second column should display the anticipated world population at the end of that year. The third column should display the numerical increase in the world population that would occur that year. Using your results, determine the year in which the population would be double what it is today, if this year's growth rate were to persist.

Short Answer

Expert verified
To calculate and project world population growth over the next 75 years at a constant growth rate, research to find the current population and growth rate, create a program to simulate annual growth, display the results in a readable table, and determine the year when population would double from the current level if the growth rate remains unchanged.

Step by step solution

01

Research Current World Population and Growth Rate

Conduct online research to find reliable sources for the current world population figure and its growth rate. Use authoritative sources such as the United Nations (UN), World Bank, or global demographic research institutions. Once you find the recent estimates, note them down as they will be needed for the calculation.
02

Initialize Variables for Calculation

Set up the initial variables in your program to hold the starting world population and its growth rate. Convert the growth rate from a percentage to a decimal to facilitate the calculations. For example, if the growth rate is 1.05%, you will use 0.0105 in your calculations.
03

Program Setup

Write a program in a suitable programming language. Initialize a loop that will iterate for 75 years. Inside the loop, calculate the population growth for each year by applying the growth rate to the current population, then add that increase to the current population for the next year's calculation.
04

Display Results in a Table

Format the output to display three columns: year, anticipated world population, and the numerical increase that year. Ensure the table is easy to read, with appropriate headings and alignment for the columns.
05

Calculate the Doubling Year

To find out in which year the population will double, compare twice the initial population to the calculated population of each subsequent year within the loop. Once the calculated population equals or exceeds twice the initial population, store that year to indicate when the population is expected to double.
06

End the Program

Once all calculations are done and the results are displayed, terminate the program. Additionally, provide an analytical summary of the findings from the table and the year of population doubling as the final output.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

C++ Programming
C++ is a powerful programming language well-suited for tasks requiring complex calculations and data manipulation, like modeling world population growth. When dealing with such exercises, students are often tasked to write efficient and accurate code.

In this scenario, after researching the current world population and growth rate, you would typically implement your program by initializing variables to store these values. Accuracy is paramount; you must ensure that the growth rate is correctly converted from percentage to a decimal. After performing this crucial step, the next part involves setting up a loop—usually a for or while loop—that will enable you to compute the population growth year over year for the specified duration, which in this case is 75 years.

Writing such a program in C++ requires understanding of loops, variables, and possibly containers like arrays for storing the population figures of each year. Remember to pay special attention to the format of the output, so that the information is clearly presented in a tabular format with the columns for year, anticipated world population, and numerical increase.
Demographic Research
Demographic research is essential when looking at world population growth issues. Students undertaking such research should seek out reputable sources like the United Nations or the World Bank, which offer the most current and globally recognized data.

The key task here is to identify the growth rate and actual population numbers. This often involves reviewing statistical reports, global studies, and reading through expert analyses. An understanding of demographics not only improves the credibility of your research, but it also provides a richer context for your programming efforts. For instance, being aware of demographic trends can underline potential fluctuations in the population growth rate over time, highlighting the simplifying assumption mentioned in the problem—that the growth rate will remain constant—as a point of academic convenience rather than a reflection of probable future events.
Population Growth Rate
The population growth rate is a critical factor in determining how quickly a population increases over time. It's usually expressed as a percentage, reflecting the rate at which the number of individuals in a population increases in a year due to births and decreases due to deaths.

When calculating population growth for a projection, applying the current growth rate throughout the duration can yield insights into future trends. However, it's important for students to know that this rate can be affected by various factors like changes in fertility rates, mortality rates, and migration patterns. Moreover, it's important to highlight that though the exercise assumes a constant growth rate, in reality, the growth rate is dynamic and tends to decrease as a population approaches its carrying capacity or is affected by economic, environmental, and social changes.
Data Analysis
Upon completing the C++ program for calculating hypothetical world population growth, the next step is robust data analysis. It involves examining the table output, interpreting the numerical data, and making inferences about future demographics.

For instance, you would analyze the data to determine in which year the population is expected to double. This simple model can provide introductory insights into exponential growth, although real-world population dynamics are far more complex. In a true data analysis scenario, you would also consider historical data, demographic shifts, and other sociopolitical factors that might alter growth rates.

Data analysis teaches students to look beyond the numbers and consider the broader implications, such as the potential for overpopulation, resource depletion, or the challenges and opportunities that come with various population growth scenarios. It's this critical evaluation of the data that's often more enlightening than the raw outputs themselves.

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Most popular questions from this chapter

\(4.26 \quad\) forward. For example, each of the following five-digit integers is a palindrome: 12321,55555 45554 and \(11611 .\) Write a program that reads in a five-digit integer and determines whether it's a palindrome. [Hint: Use the division and modulus operators to separate the number into its individual digits.

\((\text { Multiples of } 2\) with an Infinite Loop) Write a program that prints the powers of the integer \(2,\) namely \(2,4,8,16,32,64,\) etc. Your while loop should not terminate (i.e., you should create an infinite loop). To do this, simply use the keyword true as the expression for the while statement. What happens when you run this program?

(Factorial) The factorial of a nonnegative integer \(n\) is written \(n !\) (pronounced "n factorial") and is defined as follows: \(n !=n \cdot(n-1) \cdot(n-2) \cdot \ldots \cdot 1 \quad(\text { for values of } n \text { greater than } 1)\) and \\[ n !=1 \quad(\text { for } n=0 \text { or } n=1) \\] For example, \(5 !=5 \cdot 4 \cdot 3 \cdot 2 \cdot 1,\) which is \(120 .\) Use while statements in each of the following: a) Write a program that reads a nonnegative integer and computes and prints its factorial. b) Write a program that estimates the value of the mathematical constant \(e\) by using the formula: \\[ e=1+\frac{1}{1 !}+\frac{1}{2 !}+\frac{1}{3 !}+\ldots \\] Prompt the user for the desired accuracy of \(e\) (i.e., the number of terms in the summation) c) Write a program that computes the value of \(e^{x}\) by using the formula \\[ e^{x}=1+\frac{x}{1 !}+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots \\] Prompt the user for the desired accuracy of \(e\) (i.e., the number of terms in the summation).

(Dangling-else Problem) State the output for each of the following when \(x\) is 9 and \(y\) is 11 and when \(x\) is 11 and \(y\) is \(9 .\) The compiler ignores the indentation in a \(C++\) program. The \(C++\) compiler always associates an else with the previous if unless told to do otherwise by the placement of braces \\{\\}\(.\) On first glance, you may not be sure which if and else match, so this is referred to as the "dangling-else" problem. We eliminated the indentation from the following code to make the problem more challenging. [Hint: Apply indentation conventions you've learned.] (Dangling-else Problem) State the output for each of the following when \(x\) is 9 and \(y\) is 11 and when \(x\) is 11 and \(y\) is \(9 .\) The compiler ignores the indentation in a \(C++\) program. The \(C++\) compiler always associates an else with the previous if unless told to do otherwise by the placement of braces \\{\\}\(.\) On first glance, you may not be sure which if and else match, so this is referred to as the "dangling-else" problem. We eliminated the indentation from the following code to make the problem more challenging. [Hint: Apply indentation conventions you've learned.]

(Checkerboard Pattern of Asterisks) Write a program that displays the following checkerboard pattern. Your program must use only three output statements, one of each of the following forms: cout << "* "; cout << ' '; cout << endl;

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