Ron Larson
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Chapter 7 Review Exercises

Chapter 7 Review Exercises
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  • 9. Flour Beetle Population Growth

    The graph shows the growth of a flour beetle population in a natural environment. At what rate is the flour beetle population increasing?

    data folder

    • Worked-Out Solution

      By making a spreadsheet of the data, you can see that the consecutive ratios are equal. This implies that the pattern is exponential. Moreover, the population is doubling every week.

      data folder

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     __   _      ___      _  _      ___     _    _   
| || | ||   / _ \\   | \| ||   / _ \\  | \  / || 
| '--' ||  / //\ \\  |  ' ||  / //\ \\ |  \/  || 
| .--. || |  ___  || | .  || |  ___  ||| .  . || 
|_|| |_|| |_||  |_|| |_|\_|| |_||  |_|||_|\/|_|| 
`-`  `-`  `-`   `-`  `-` -`  `-`   `-` `-`  `-`
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  • 10. Flour Beetle Population Growth

    The graph shows the growth of a flour beetle population in a natural environment. Predict the number of flour beetles in week 6.

    data folder

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      ______     ___      ______    ______   __   __  
 /_   _//   / _ \\   /_   _//  /_   _//  \ \\/ // 
 `-| |,-   | / \ ||  `-| |,-    -| ||-    \   //  
   | ||    | \_/ ||    | ||     _| ||_    / . \\  
   |_||     \___//     |_||    /_____//  /_//\_\\ 
   `-`'     `---`      `-`'    `-----`   `-`  --`
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  • 11. Flour Beetle Population Growth

    The graph shows the growth of a flour beetle population in a natural environment. When does the population exceed 4000 beetles?

    data folder

    • Worked-Out Solution

      From the spreadsheet below, you can see that if the population continues to double every week, then the population of flour beetles will exceed 4000 in the 10th week.

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               __   __    _____    _    _     ______  
    ___    \ \\/ //  /  ___|| | || | ||  /_   _// 
   /   ||   \ ` //  | // __   | || | ||    | ||   
  | [] ||    | ||   | \\_\ || | \\_/ ||   _| ||   
   \__ ||    |_||    \____//   \____//   /__//    
    -|_||    `-`'     `---`     `---`    `--`     
     `-`
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  • 12. Flour Beetle Population Growth

    The graph shows the growth of a flour beetle population in a natural environment. How many weeks does it take the population to quadruple?

    data folder

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     _____      _____     _  _      ___       _____  
|  __ \\   |  ___||  | \| ||   / _ \\    / ___// 
| |  \ ||  | ||__    |  ' ||  | / \ ||   \___ \\ 
| |__/ ||  | ||__    | .  ||  | \_/ ||   /    // 
|_____//   |_____||  |_|\_||   \___//   /____//  
 -----`    `-----`   `-` -`    `---`   `-----`
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  • 13. Growth Pattern

    In a laboratory, the growth of a flour beetle population in a container of flour is monitored for 12 weeks. The graph shows the growth of the population. What type of growth does the graph display?

    • Worked-Out Solution

      The graph is showing a logistic growth pattern.

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      ______   __   __   __   _    _    _     _  __  
 /_   _//  \ \\/ // | || | || | || | ||  | |/ // 
   | ||     \ ` //  | '--' || | || | ||  | ' //  
  _| ||      | ||   | .--. || | \\_/ ||  | . \\  
 /__//       |_||   |_|| |_||  \____//   |_|\_\\ 
 `--`        `-`'   `-`  `-`    `---`    `-` --`
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  • 14. Maximum Sustainable Population

    In a laboratory, the growth of a flour beetle population in a container of flour is monitored for 12 weeks. The graph shows the growth of the population. What is the maximum sustainable population?

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       _____     ___     ______      ___     _____    
  / ___//   / _ \\  |      \\   / _ \\  |  __ \\  
  \___ \\  / //\ \\ |  --  //  / //\ \\ | |  \ || 
  /    // |  ___  |||  --  \\ |  ___  ||| |__/ || 
 /____//  |_||  |_|||______// |_||  |_|||_____//  
`-----`   `-`   `-` `------`  `-`   `-`  -----`
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  • 15. Change in Population

    In a laboratory, the growth of a flour beetle population in a container of flour is monitored for 12 weeks. The graph shows the growth of the population. Make a table that shows the change in the number of flour beetles for each week. Discuss any trends.

    data folder

    • Worked-Out Solution

      Enter the data into a spreadsheet. Then, add a column that shows the weekly change. Notice that the change is increasing until Week 4. At that point, the growth rate starts to slow down.

      data folder

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     _    _     _____    _    _    _    _    ______   
| \  / ||  |  ___|| | |  | || | || | || |      \\ 
|  \/  ||  | ||__   | |/\| || | || | || |  --  // 
| .  . ||  | ||__   |  /\  || | \\_/ || |  --  \\ 
|_|\/|_||  |_____|| |_// \_||  \____//  |______// 
`-`  `-`   `-----`  `-`   `-`   `---`   `------`
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  • 16. Percent Change in Population

    In a laboratory, the growth of a flour beetle population in a container of flour is monitored for 12 weeks. The graph shows the growth of the population. Make a table that shows the percent change in the number of flour beetles for each week. Discuss any trends.

    data folder

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                 ___      _____      ___     _    _   
    ___     / _ \\   |__  //    / _ \\  | |  | || 
   /   ||  | / \ ||    / //    / //\ \\ | |/\| || 
  | [] ||  | \_/ ||   / //__  |  ___  |||  /\  || 
   \__ ||   \___//   /_____|| |_||  |_|||_// \_|| 
    -|_||   `---`    `-----`  `-`   `-` `-`   `-` 
     `-`
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