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7.1–7.2 Quiz

7.1–7.2 Quiz
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  • 1. Describing a Pattern

    The table shows two data sets for the projected growth of a deer population in a forest.

    data folder

    Describe the pattern in set A. Then make a scatter plot of the data.

    • Worked-Out Solution

      The pattern for set A is linear. The deer population is projected to grow at a rate of 24 additional deer each year. This is shown in the spreadsheet and graph.

      data folder

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     _    _     ______    ____     __   __    ______  
    | |  | ||  /_   _//  |  _ \\   \ \\/ //  /_   _// 
    | |/\| ||   -| ||-   | |_| ||   \ ` //   `-| |,-  
    |  /\  ||   _| ||_   | .  //     | ||      | ||   
    |_// \_||  /_____//  |_|\_\\     |_||      |_||   
    `-`   `-`  `-----`   `-` --`     `-`'      `-`'   
                                                      
    
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  • 2. Predicting Deer Population

    The table shows two data sets for the projected growth of a deer population in a forest.

    Use set A to predict the deer population in 2022.

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     _    _      ___      ______     ___     _    _   
    | \  / ||   / _ \\   /_   _//   / _ \\  | || | || 
    |  \/  ||  | / \ ||    | ||    | / \ || | || | || 
    | .  . ||  | \_/ ||   _| ||    | \_/ || | \\_/ || 
    |_|\/|_||   \___//   /__//      \___//   \____//  
    `-`  `-`    `---`    `--`       `---`     `---`   
                                                      
    
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  • 3. Describing a Pattern

    The table shows two data sets for the projected growth of a deer population in a forest.

    data folder

    Describe the pattern in set B. Then make a scatter plot of the data.

    • Worked-Out Solution

      The pattern for set B is exponential. The deer population is projected to grow at a rate of 12% each year. This is shown in the spreadsheet and graph.

      data folder

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      _____      ___     __   _    _    _             
     / ____||   / _ \\  | || | || | || | ||     ___   
    / //---`'  | / \ || | '--' || | || | ||    /   || 
    \ \\___    | \_/ || | .--. || | \\_/ ||   | [] || 
     \_____||   \___//  |_|| |_||  \____//     \__ || 
      `----`    `---`   `-`  `-`    `---`       -|_|| 
                                                 `-`  
    
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  • 4. Predicting Deer Population

    The table shows two data sets for the projected growth of a deer population in a forest.

    Use set B to predict the deer population in 2022.

    Comments (0)

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     _    _      ___      ____     __   __            
    | || | ||   / _ \\   |  _ \\   \ \\/ //   ____    
    | || | ||  | / \ ||  | |_| ||   \ ` //   |    \\  
    | \\_/ ||  | \_/ ||  | .  //     | ||    | [] ||  
     \____//    \___//   |_|\_\\     |_||    |  __//  
      `---`     `---`    `-` --`     `-`'    |_|`-`   
                                             `-`      
    
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  • 5. Deer Population

    The table shows two data sets for the projected growth of a deer population in a forest.

    data folder

    Using set A, when does the deer population exceed 500?

    • Worked-Out Solution

      You can use a spreadsheet to find the year in which the deer population exceeds 500. From the spreadsheet, you can see that this happens in 2025.

      data folder

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       _____     ___      _  __     ___      ______  
      / ___//   / _ \\   | |/ //   / _ \\   /_   _// 
      \___ \\  | / \ ||  | ' //   / //\ \\    | ||   
      /    //  | \_/ ||  | . \\  |  ___  ||  _| ||   
     /____//    \___//   |_|\_\\ |_||  |_|| /__//    
    `-----`     `---`    `-` --` `-`   `-`  `--`     
                                                     
    
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  • 6. Deer Population

    The table shows two data sets for the projected growth of a deer population in a forest.

    Using set B, when does the deer population exceed 500?

    Comments (0)

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      ____       ___      ______     ___     __   _   
     |  _ \\    / _ \\   /_   _//   / _ \\  | || | || 
     | |_| ||  / //\ \\  `-| |,-   | / \ || | '--' || 
     | .  //  |  ___  ||   | ||    | \_/ || | .--. || 
     |_|\_\\  |_||  |_||   |_||     \___//  |_|| |_|| 
     `-` --`  `-`   `-`    `-`'     `---`   `-`  `-`  
                                                      
    
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  • 7. Deer

    The table shows two data sets for the projected growth of a deer population in a forest.

    data folder

    Suppose information from a previous study reveals that the deer population was 113 in 2007. Which model fits these data better? Explain your reasoning.

    • Worked-Out Solution

      Use a spreadsheet to find the populations for previous years.

      Set A: Linear pattern

      Set B: Exponential pattern

      From the spreadsheet, you can see that the exponential model fits the pattern better.

      data folder

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       _____   _    _    _    _      ___      _  _   
      / ___// | || | || | || | ||   / _ \\   | \| || 
      \___ \\ | || | || | || | ||  | / \ ||  |  ' || 
      /    // | \\_/ || | \\_/ ||  | \_/ ||  | .  || 
     /____//   \____//   \____//    \___//   |_|\_|| 
    `-----`     `---`     `---`     `---`    `-` -`  
                                                     
    
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  • 8. Deer Population Growth

    The table shows two data sets for the projected growth of a deer population in a forest.

    Suppose the deer population is growing logistically and the maximum sustainable population is 500 deer. Sketch a graph that illustrates this type of growth for the deer population.

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      ____      _____     _____     _____    __   __  
     |  _ \\   |  ___||  |__  //   |  ___||  \ \\/ // 
     | |_| ||  | ||__      / //    | ||__     \   //  
     | .  //   | ||__     / //__   | ||__     / . \\  
     |_|\_\\   |_____||  /_____||  |_____||  /_//\_\\ 
     `-` --`   `-----`   `-----`   `-----`   `-`  --` 
                                                      
    
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