Graphing Worksheet with line and pie chart activities for data visualization.

Let's solve both problems step by step.

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Problem 1: Line Graph – Growth of a Cherry Tree

#### Step 1: Understand the Data
We are given a table showing the growth (in feet) of a cherry tree over time (in years):

| Growth (feet) | Time (year) |
|---------------|-------------|
| 2.5 | 1 |
| 3.0 | 2 |
| 3.3 | 3 |
| 4.1 | 4 |
| 3.2 | 5 |
| 2.1 | 6 |
| 2.3 | 7 |
| 2.7 | 8 |
| 2.4 | 9 |

We will plot Time (year) on the x-axis and Growth (feet) on the y-axis.

#### Step 2: Set Up the Axes
- X-axis (horizontal): Label as "Time (year)" and mark from 1 to 9.
- Y-axis (vertical): Label as "Growth (feet)" and mark from 0 to 4.5 in increments of 0.5 or 1, depending on scale.

Since the highest value is 4.1, we can go up to 4.5 or 5 for clarity.

#### Step 3: Plot the Points
Plot each pair:
- (1, 2.5)
- (2, 3.0)
- (3, 3.3)
- (4, 4.1)
- (5, 3.2)
- (6, 2.1)
- (7, 2.3)
- (8, 2.7)
- (9, 2.4)

#### Step 4: Connect the Points
Draw a line connecting the points in order of increasing time. This shows how the tree grew over the years.

> Note: The tree grows quickly at first, peaks at year 4, then declines slightly before stabilizing.

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✔ Line Graph Summary:

- X-axis label: Time (year)
- Y-axis label: Growth (feet)
- Data trend: Increases to year 4, then decreases and stabilizes.

You would draw this on the grid provided.

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Problem 2: Pie Chart – Favorite Movie Theme

#### Step 1: Total Votes
Add all votes:

- Comedy: 5
- Horror: 9
- Action: 12
- Romance: 4
Total = 5 + 9 + 12 + 4 = 30 votes

#### Step 2: Calculate Percentages and Angles
Each section’s angle = (Votes / Total) × 360°

- Comedy: (5/30) × 360 = 60°
- Horror: (9/30) × 360 = 108°
- Action: (12/30) × 360 = 144°
- Romance: (4/30) × 360 = 48°

Check: 60 + 108 + 144 + 48 = 360° ✔️

#### Step 3: Draw the Pie Chart
1. Draw a circle.
2. Use a protractor to measure and draw each sector:
- Start with Action (144°) — largest slice
- Then Horror (108°)
- Then Comedy (60°)
- Then Romance (48°)

#### Step 4: Color and Label
- Color each section differently.
- Label each section with the theme name and percentage:
- Comedy: 5/30 = 16.7%
- Horror: 9/30 = 30%
- Action: 12/30 = 40%
- Romance: 4/30 = 13.3%

> You may write the theme name and percentage inside or near each slice.

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✔ Pie Chart Summary:

- Total votes: 30
- Largest section: Action (40%)
- Smallest section: Romance (13.3%)

Color each section distinctly and label accordingly.

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Final Answer:

You should now:
1. Draw a line graph with labeled axes and plotted points connected in order.
2. Draw a pie chart with correct angles, colored sections, and labels.

This completes both tasks on the worksheet.

Let me know if you'd like a visual sketch description or printable version!