### 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.

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.

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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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``` ______      ___      _____    _    _     _____
|      \\   / _ \\   / ____|| | || | ||  /  ___||
|  --  //  / //\ \\ / //---`' | || | || | // __
|  --  \\ |  ___  ||\ \\___   | \\_/ || | \\_\ ||
|______// |_||  |_|| \_____||  \____//   \____//
`------`  `-`   `-`   `----`    `---`     `---`

```
• 3. Describing a Pattern

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

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.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

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

```
• 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.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

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

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

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.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

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

```
• 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?

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

``` _    _     ______   _    _     ______   _    _
| |  | ||  /_   _// | |  | ||  /_   _// | \  / ||
| |/\| ||   -| ||-  | |/\| ||   -| ||-  |  \/  ||
|  /\  ||   _| ||_  |  /\  ||   _| ||_  | .  . ||
|_// \_||  /_____// |_// \_||  /_____// |_|\/|_||
`-`   `-`  `-----`  `-`   `-`  `-----`  `-`  `-`

```
• 7. Deer

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

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.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

```             ___     _    _      ___
____      / _ \\  | \  / ||   / _ \\    ____
|    \\   / //\ \\ |  \/  ||  | / \ ||  |    \\
| [] ||  |  ___  ||| .  . ||  | \_/ ||  | [] ||
|  __//  |_||  |_|||_|\/|_||   \___//   |  __//
|_|`-`   `-`   `-` `-`  `-`    `---`    |_|`-`
`-`                                     `-`
```
• 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.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
```  ______   _    _     ______   __   __    ______