Let's solve the problem step by step using the data provided in the table and the line graph.
Step 1: Understand the Data
The table shows the height of Emma’s plant each week:
| Week | Height (cm) |
|------|-------------|
| Week 1 | 2 cm |
| Week 2 | 5 cm |
| Week 3 | 8 cm |
| Week 4 | 11 cm |
| Week 5 | 14 cm |
We are to:
- Draw a line graph using this data.
- Answer the five questions based on the data.
---
Step 2: Draw the Line Graph
To draw the line graph:
1. On the
x-axis, label weeks from 1 to 5.
2. On the
y-axis, label height in centimeters from 0 to 16 (since max is 14).
3. Plot the points:
- Week 1 → 2 cm
- Week 2 → 5 cm
- Week 3 → 8 cm
- Week 4 → 11 cm
- Week 5 → 14 cm
4. Connect the points with straight lines.
This will show a steady increase in plant height over time.
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Step 3: Answer the Questions
####
1. How tall was the plant in week 2?
From the table:
Answer: 5 cm
---
####
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
---
####
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
---
####
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
---
####
5. On week 6, do you think the plant would be around 21 cm or 17 cm?
Let’s analyze the pattern:
- Each week, the plant grows by:
- Week 1 to 2: +3 cm
- Week 2 to 3: +3 cm (8 - 5)
- Week 3 to 4: +3 cm (11 - 8)
- Week 4 to 5: +3 cm (14 - 11)
So, the plant grows
3 cm per week consistently.
Therefore, in
Week 6, it should grow another 3 cm:
- Week 5: 14 cm
- Week 6: 14 + 3 =
17 cm
Answer: 17 cm
---
✔ Final Answers:
1.
5 cm
2.
3 cm
3.
6 cm
4.
12 cm
5.
17 cm
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📌 Explanation Summary:
- The plant grows at a
constant rate of 3 cm per week.
- This linear growth allows us to predict future heights accurately.
- The line graph will be a straight line going upward with equal spacing between points.
You can now draw the graph by plotting the points and connecting them with straight lines.
Parent Tip: Review the logic above to help your child master the concept of 6th grade graphing worksheet.
