/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 Birth and death rates are often ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Birth and death rates are often reported as births or deaths per thousand members of the population. What is the relative rate of growth of a population with a birth rate of 30 births per 1000 and a death rate of 20 deaths per 1000 ?

Short Answer

Expert verified
The relative growth rate is 10 per 1000 people.

Step by step solution

01

Understand Relative Growth Rate

The relative rate of growth of a population is calculated as the difference between the birth rate and the death rate. This describes how much the population is expected to grow or shrink based on these two factors alone.
02

Identify the Given Rates

You are given a birth rate (\(b\)) of 30 births per 1000 people and a death rate (\(d\)) of 20 deaths per 1000 people.
03

Calculate the Relative Growth Rate

Subtract the death rate from the birth rate to find the relative growth rate: \[\text{Relative Growth Rate} = b - d = 30 - 20.\]
04

Simplify and Interpret

Calculate \(30 - 20\) which equals \(10\). This means the relative growth rate is 10 per 1000 people, indicating the population grows by 10 individuals per 1000 people per year.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

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

Understanding Birth Rate
The birth rate is a way to measure how a population changes over time, specifically by looking at the number of newborns. It is generally calculated as the number of births per 1000 individuals in a given population per year. The birth rate provides insight into how quickly a population might increase, and it is a pivotal factor in understanding population dynamics.
In many countries, policies and social factors can impact birth rates. Access to healthcare, family planning services, economic stability, and cultural norms all play roles in determining whether a population's birth rate is likely to rise or fall. Meanwhile, higher birth rates often indicate a younger population, whereas lower birth rates might suggest an aging population.
Key points to remember:
  • The birth rate provides data on the number of new births per 1000 people annually.
  • Factors affecting birth rate include healthcare, economy, and cultural practices.
  • Birth rates help to forecast demographic changes in a society.
Exploring Death Rate
The death rate is another crucial metric in population dynamics and represents the number of deaths per 1000 members of a population per year. Understanding the death rate helps demographers, government officials, and researchers to plan for healthcare, housing, and other resource needs in a society.
The death rate can be influenced by various factors like health care quality, disease prevalence, natural disasters, and overall living conditions. A high death rate might point to issues such as inadequate healthcare or environmental challenges. Conversely, a low death rate can suggest good healthcare services and a healthy environment.
Some essential points about the death rate include:
  • It identifies the number of deaths per 1000 individuals annually.
  • It's influenced by healthcare, environmental conditions, and social circumstances.
  • It aids in predicting healthcare needs and other policy decisions.
Relative Growth Rate Explained
The relative growth rate indicates how quickly a population is increasing or decreasing, based solely on the given birth and death rates. It is calculated by subtracting the death rate from the birth rate. If the birth rate exceeds the death rate, the population is growing. Otherwise, it might be shrinking.
For instance, given a birth rate of 30 and a death rate of 20 per 1000 individuals, the relative growth rate would be calculated as follows: - Subtract the death rate from the birth rate: \[\text{Relative Growth Rate} = 30 - 20 = 10\text{ per 1000 people}\].This means for every 1000 individuals, the population would grow by 10 people annually.
Important aspects of relative growth rate:
  • It shows whether a population is growing or declining.
  • Calculated by subtracting death rate from birth rate.
  • A positive result means growth; a negative one suggests decline.
Understanding these concepts helps anticipate changes in population size, which is vital for managing resources effectively.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The value of good wine increases with age. Thus, if you are a wine dealer, you have the problem of deciding whether to sell your wine now, at a price of \(\$ P\) a bottle, or to sell it later at a higher price. Suppose you know that the amount a wine-drinker is willing to pay for a bottle of this wine \(t\) years from now is \(\$ P(1+20 \sqrt{t})\). Assuming continuous compounding and a prevailing interest rate of \(5 \%\) per year, when is the best time to sell your wine?

Harley-Davidson Inc. manufactures motorcycles. During the years following 2003 (the company's \(100^{\text {th }}\) anniversary), the company's net revenue can he approximated \(^{3}\) by \(4.6+0.4 t\) billion dollars per year, where \(t\) is time in years since January 1,2003 . Assume this rate holds through January 1,2013, and assume a continuous interest rate of \(3.5 \%\) per year. (a) What was the net revenue of the Harley-Davidson Company in \(2003 ?\) What is the projected net revenue in \(2013 ?\) (b) What was the present value, on January 1,2003 , of Harley-Davidson's net revenue for the ten years from January 1,2003 to January \(1,2013 ?\) (c) What is the future value, on January 1,2013, of net revenue for the preceding 10 years?

At what constant, continuous rate must money be deposited into an account if the account is to contain \(\$ 20,000\) in 5 years? The account earns \(6 \%\) interest compounded continuously.

Sales of Version \(6.0\) of a computer software package start out high and decrease exponentially. At time \(t\), in years, the sales are \(s(t)=50 e^{-t}\) thousands of dollars per year. After two years, Version \(7.0\) of the software is released and replaces Version \(6.0\). You can invest earnings at an interest rate of \(6 \%\), compounded continuously. Calculate the total present value of sales of Version 6,0 over the two-year period.

The total gains from trade (consumer surplus \(+\) producer surplus) is largest at the equilibrium price. What about the consumer surplus and producer surplus separately? (a) Suppose a price is artificially high. Can the consumer surplus at the artificial price be larger than the consumer surplus at the equilibrium price? What about the producer surplus? Sketch possible supply and demand curves to illustrate your answers. (b) Suppose a price is artificially low. Can the consumer surplus at the artificial price be larger than the consumer surplus at the equilibrium price? What about the producer surplus? Sketch possible supply and demand curves to illustrate your answers.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.