Let's solve the problem step by step using the data provided in the worksheet.
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Given Data:
| Week | Height (cm) |
|------|-------------|
| 1 | 2 |
| 2 | 5 |
| 3 | 8 |
| 4 | 11 |
| 5 | 14 |
We are to:
1. Draw a line graph using this data.
2. Answer five questions based on the data and graph.
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Step 1: Plotting the Line Graph
To draw the line graph:
- The x-axis represents
Weeks (1 to 5).
- The y-axis represents
Height in centimeters (from 0 to 16 cm).
Plot the points:
- Week 1 → 2 cm
- Week 2 → 5 cm
- Week 3 → 8 cm
- Week 4 → 11 cm
- Week 5 → 14 cm
Then connect the points with straight lines.
> *(Note: Since I can't draw here, you would plot these on the grid provided.)*
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Now, answer the questions:
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1. How tall was the plant in week 2?
From the table:
Week 2 → 5 cm
✔ Answer: 5 cm
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2. How much had the plant grown from week 1 to week 2?
- Week 1: 2 cm
- Week 2: 5 cm
- Growth = 5 - 2 =
3 cm
✔ Answer: 3 cm
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####
3. How much had the plant grown from week 2 to week 4?
- Week 2: 5 cm
- Week 4: 11 cm
- Growth = 11 - 5 =
6 cm
✔ Answer: 6 cm
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####
4. How much had the plant grown from week 1 to week 5?
- Week 1: 2 cm
- Week 5: 14 cm
- Growth = 14 - 2 =
12 cm
✔ Answer: 12 cm
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5. On week 6, do you think the plant would be around 21 cm or 17 cm?
Let’s analyze the pattern:
- From week 1 to week 5:
Heights: 2, 5, 8, 11, 14
This is an
arithmetic sequence increasing by
3 cm per week.
So:
- Week 6 = 14 + 3 =
17 cm
Thus, the plant grows
3 cm each week, so it should be
17 cm in week 6.
✔ Answer: 17 cm
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✔ Final Answers:
1.
5 cm
2.
3 cm
3.
6 cm
4.
12 cm
5.
17 cm
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🌱 Summary:
The plant grows at a
constant rate of 3 cm per week, which means the growth is
linear. That’s why we can predict week 6 as 17 cm.
This is a classic example of
linear growth, and the line graph will show a straight diagonal line going upward.
Let me know if you'd like help drawing the graph!
Parent Tip: Review the logic above to help your child master the concept of free line graph worksheet.
