Evaluate the graph and classify the statements as true or false. True False 9. 8- 7- Line 1 6 - 5. 4 3- 2 Answer Bank 1 Line 2 Line 2 shows that flanges are inversely proportional to sprockets. 1 6 7 Sprockets Line 1 shows that flanges are inversely proportional to sprockets. Flanges

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### Graph Explanation and Proportionality Analysis

#### Graph Details
The graph on the right side of the image displays the relationship between two variables: "Sprockets" on the x-axis and "Flanges" on the y-axis. Two lines are plotted on the graph:

- **Line 1** (Red Line): This line is straight and passes through the origin, showing a direct proportionality between sprockets and flanges. As the number of sprockets increases, the number of flanges increases linearly.
- **Line 2** (Blue Line): This line shows a curve with a steep drop-off that levels out, indicating an inverse relationship between sprockets and flanges. As the number of sprockets increases, the number of flanges decreases.

#### Answer Bank
Below the graph, there is an answer bank with four options meant to identify the type of proportionality each line represents:

1. Line 2 shows that flanges are inversely proportional to sprockets.
2. Line 1 shows that flanges are inversely proportional to sprockets.
3. Line 2 shows that flanges are directly proportional to sprockets.
4. Line 1 shows that flanges are directly proportional to sprockets.

According to the graph, the correct matches are:
- **Line 1** shows that flanges are directly proportional to sprockets.
- **Line 2** shows that flanges are inversely proportional to sprockets.
Transcribed Image Text:### Graph Explanation and Proportionality Analysis #### Graph Details The graph on the right side of the image displays the relationship between two variables: "Sprockets" on the x-axis and "Flanges" on the y-axis. Two lines are plotted on the graph: - **Line 1** (Red Line): This line is straight and passes through the origin, showing a direct proportionality between sprockets and flanges. As the number of sprockets increases, the number of flanges increases linearly. - **Line 2** (Blue Line): This line shows a curve with a steep drop-off that levels out, indicating an inverse relationship between sprockets and flanges. As the number of sprockets increases, the number of flanges decreases. #### Answer Bank Below the graph, there is an answer bank with four options meant to identify the type of proportionality each line represents: 1. Line 2 shows that flanges are inversely proportional to sprockets. 2. Line 1 shows that flanges are inversely proportional to sprockets. 3. Line 2 shows that flanges are directly proportional to sprockets. 4. Line 1 shows that flanges are directly proportional to sprockets. According to the graph, the correct matches are: - **Line 1** shows that flanges are directly proportional to sprockets. - **Line 2** shows that flanges are inversely proportional to sprockets.
### Evaluate the Graph and Classify the Statements

On the right side of the display, there is a graph with two lines, labeled "Line 1" and "Line 2." The graph plots "Flanges" on the vertical (y) axis against "Sprockets" on the horizontal (x) axis.

#### Graph Details:

- **Line 1** (Red Line): This is a straight line displaying a direct proportionality between flanges and sprockets. As the number of sprockets increases, the number of flanges increases at a constant rate.

- **Line 2** (Blue Curve): This line shows an inverse relationship where initially, with fewer sprockets, the number of flanges is high, but as sprockets increase, flanges decrease sharply, becoming nearly flat as sprockets continue to increase.

### Classification Task:

Classify the statements from the answer bank as "True" or "False" based on the graph:

#### Answer Bank:

1. **Line 2 shows that flanges are inversely proportional to sprockets.**

2. **Line 1 shows that flanges are inversely proportional to sprockets.**

Evaluate the graph and place each statement in the correct box for "True" or "False" based on the descriptions above.
Transcribed Image Text:### Evaluate the Graph and Classify the Statements On the right side of the display, there is a graph with two lines, labeled "Line 1" and "Line 2." The graph plots "Flanges" on the vertical (y) axis against "Sprockets" on the horizontal (x) axis. #### Graph Details: - **Line 1** (Red Line): This is a straight line displaying a direct proportionality between flanges and sprockets. As the number of sprockets increases, the number of flanges increases at a constant rate. - **Line 2** (Blue Curve): This line shows an inverse relationship where initially, with fewer sprockets, the number of flanges is high, but as sprockets increase, flanges decrease sharply, becoming nearly flat as sprockets continue to increase. ### Classification Task: Classify the statements from the answer bank as "True" or "False" based on the graph: #### Answer Bank: 1. **Line 2 shows that flanges are inversely proportional to sprockets.** 2. **Line 1 shows that flanges are inversely proportional to sprockets.** Evaluate the graph and place each statement in the correct box for "True" or "False" based on the descriptions above.
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