Problem Description:
The task involves analyzing a line graph that shows the height of a sunflower measured over seven weeks. The goal is to answer questions based on the data presented in the graph.
Line Graph Details:
-
X-axis: Represents the number of weeks (from 0 to 7).
-
Y-axis: Represents the height of the sunflower in centimeters (cm).
- The graph shows a smooth upward trend, indicating the sunflower's growth over time.
Questions to Answer:
1.
What type of data can be recorded using this graph?
2.
Which sunflower grew the most each week?
3.
On which week did the sunflower grow the most?
---
Solution:
####
Question 1: What type of data can be recorded using this graph?
-
Answer: This graph records
continuous numerical data over time. Specifically, it shows the
height of a sunflower (in centimeters) measured at regular intervals (weekly). The data is continuous because the height of the sunflower changes gradually and can take any value within a range.
####
Explanation:
- The graph uses a line to connect data points, which implies that the height of the sunflower is being measured continuously over time.
- The Y-axis represents height (a numerical value), and the X-axis represents time (weeks), making it suitable for recording continuous growth data.
---
####
Question 2: Which sunflower grew the most each week?
-
Answer: The graph only shows the growth of
one sunflower. Therefore, there is no comparison between multiple sunflowers. The question cannot be answered as stated because there are no other sunflowers shown in the graph.
####
Explanation:
- Since the graph depicts the growth of a single sunflower, it is not possible to determine which sunflower grew the most each week when there is only one sunflower present.
---
####
Question 3: On which week did the sunflower grow the most?
-
Answer: To determine the week with the most growth, we need to look at the
steepest part of the line on the graph. The steeper the slope, the faster the growth rate.
- From the graph:
- The slope is relatively flat in the early weeks (Weeks 0–2).
- The slope becomes steeper around Weeks 3–4.
- The steepest part of the graph appears to be between
Weeks 4 and 5.
- Therefore, the sunflower grew the most between
Week 4 and Week 5.
####
Explanation:
- The steepness of the line indicates the rate of growth. A steeper line means faster growth, while a flatter line means slower growth.
- By visually inspecting the graph, the steepest section occurs between Weeks 4 and 5, suggesting that the sunflower experienced its most significant growth during this period.
---
Final Answers:
1.
What type of data can be recorded using this graph?
\[
\boxed{\text{Continuous numerical data (height of a sunflower in cm over time)}}
\]
2.
Which sunflower grew the most each week?
\[
\boxed{\text{Not applicable; only one sunflower is shown.}}
\]
3.
On which week did the sunflower grow the most?
\[
\boxed{\text{Between Weeks 4 and 5}}
\]
Parent Tip: Review the logic above to help your child master the concept of interpreting graphs worksheet answer.
