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Calculating Rate and Exponential Growth: The Population Dynamics Problem

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Given a population growth of 3%, how long will it take for the population to grow from 100 to 150?

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1. If the population of a city grows 25% in 3 years, what is the yearly growth rate?

2. The following differential equation represents the change in population as a function of time. What does the 0.03 represent in this equation?

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About This Quiz & Worksheet

This quiz and corresponding worksheet will help you gauge your understanding of how to calculate rate and exponential growth. Topics you'll need to know to pass the quiz include understanding how long it takes for a population to grow from a given growth rate as well as knowing how to calculate the yearly growth rate in a given problem.

Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

  • How long for a population to grow from a given growth rate
  • How to calculate the yearly growth rate in a given problem
  • What a decimal represents in relation to growth rate
  • How to solve a differential equation for a bank balance
  • The equation in a bank balance in a given problem

Skills Practiced

This worksheet and quiz will let you practice the following skills:

  • Defining key concepts - ensure that you can accurately define main phrases, such as differential equation
  • Reading comprehension - ensure that you draw the most important information from the related how to calculate rate and exponential growth lesson
  • Interpreting information - verify that you can read information regarding how to calculate rate and exponential growth and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about how to calculate rate and exponential growth

Additional Learning

To learn more about finding exponential growth, review the corresponding lesson on How to Calculate Rate and Exponential Growth. This lesson covers the following objectives:

  • Describe the idea behind a differential equation
  • Identify how long for a population to grow from a given growth rate
  • Know how to calculate the yearly growth rate in a given problem
  • Learn what a decimal represents in relation to growth rate
  • Appreciate how to solve a differential equation for a bank balance
  • Understand the equation in a bank balance in a given problem
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