Graph Worksheets - Free Printable
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Step-by-step solution for: Graph Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Graph Worksheets
The provided image is a double line graph showing the savings of two individuals, Heather and Kirsten, over seven years (from 2016 to 2022). The task involves analyzing the graph and answering questions based on the data. Below is a detailed explanation of each question and its solution:
---
- The graph shows two lines:
- Blue line: Represents Heather's savings.
- Green line: Represents Kirsten's savings.
- The x-axis represents the years (2016–2022).
- The y-axis represents the amount saved in dollars.
---
#### 1. How much did Heather save in 2016?
- Locate the year 2016 on the x-axis.
- Find the corresponding point on the blue line (Heather's savings).
- The value on the y-axis for this point is $300.
Answer: $300
#### 2. Who had more savings in 2019?
- Locate the year 2019 on the x-axis.
- Compare the heights of the blue line (Heather) and the green line (Kirsten) at this point.
- The green line (Kirsten) is higher than the blue line (Heather).
Answer: Kirsten
#### 3. How much did Heather and Kirsten save in 2017 altogether?
- Locate the year 2017 on the x-axis.
- For Heather (blue line), the savings are approximately $700.
- For Kirsten (green line), the savings are approximately $500.
- Add these values:
$$
700 + 500 = 1200
$$
Answer: $1200
#### 4. Which year had the highest savings by Heather?
- Look at the blue line (Heather's savings) and identify the highest point.
- The highest point occurs in the year 2022, where Heather's savings reach approximately $900.
Answer: 2022
#### 5. How much did Kirsten save in 2020?
- Locate the year 2020 on the x-axis.
- Find the corresponding point on the green line (Kirsten's savings).
- The value on the y-axis for this point is approximately $600.
Answer: $600
#### 6. Who had less savings in 2018?
- Locate the year 2018 on the x-axis.
- Compare the heights of the blue line (Heather) and the green line (Kirsten) at this point.
- The green line (Kirsten) is lower than the blue line (Heather).
Answer: Kirsten
#### 7. How much did Heather save for seven years?
- Sum up Heather's savings for each year from 2016 to 2022:
- 2016: $300
- 2017: $700
- 2018: $700
- 2019: $500
- 2020: $800
- 2021: $600
- 2022: $900
- Add these values:
$$
300 + 700 + 700 + 500 + 800 + 600 + 900 = 4500
$$
Answer: $4500
#### 8. How much did Kirsten save for seven years?
- Sum up Kirsten's savings for each year from 2016 to 2022:
- 2016: $400
- 2017: $600
- 2018: $500
- 2019: $700
- 2020: $600
- 2021: $800
- 2022: $700
- Add these values:
$$
400 + 600 + 500 + 700 + 600 + 800 + 700 = 4300
$$
Answer: $4300
---
1. $300
2. Kirsten
3. $1200
4. 2022
5. $600
6. Kirsten
7. $4500
8. $4300
$$
\boxed{4500}
$$
---
Graph Analysis
- The graph shows two lines:
- Blue line: Represents Heather's savings.
- Green line: Represents Kirsten's savings.
- The x-axis represents the years (2016–2022).
- The y-axis represents the amount saved in dollars.
---
Questions and Solutions
#### 1. How much did Heather save in 2016?
- Locate the year 2016 on the x-axis.
- Find the corresponding point on the blue line (Heather's savings).
- The value on the y-axis for this point is $300.
Answer: $300
#### 2. Who had more savings in 2019?
- Locate the year 2019 on the x-axis.
- Compare the heights of the blue line (Heather) and the green line (Kirsten) at this point.
- The green line (Kirsten) is higher than the blue line (Heather).
Answer: Kirsten
#### 3. How much did Heather and Kirsten save in 2017 altogether?
- Locate the year 2017 on the x-axis.
- For Heather (blue line), the savings are approximately $700.
- For Kirsten (green line), the savings are approximately $500.
- Add these values:
$$
700 + 500 = 1200
$$
Answer: $1200
#### 4. Which year had the highest savings by Heather?
- Look at the blue line (Heather's savings) and identify the highest point.
- The highest point occurs in the year 2022, where Heather's savings reach approximately $900.
Answer: 2022
#### 5. How much did Kirsten save in 2020?
- Locate the year 2020 on the x-axis.
- Find the corresponding point on the green line (Kirsten's savings).
- The value on the y-axis for this point is approximately $600.
Answer: $600
#### 6. Who had less savings in 2018?
- Locate the year 2018 on the x-axis.
- Compare the heights of the blue line (Heather) and the green line (Kirsten) at this point.
- The green line (Kirsten) is lower than the blue line (Heather).
Answer: Kirsten
#### 7. How much did Heather save for seven years?
- Sum up Heather's savings for each year from 2016 to 2022:
- 2016: $300
- 2017: $700
- 2018: $700
- 2019: $500
- 2020: $800
- 2021: $600
- 2022: $900
- Add these values:
$$
300 + 700 + 700 + 500 + 800 + 600 + 900 = 4500
$$
Answer: $4500
#### 8. How much did Kirsten save for seven years?
- Sum up Kirsten's savings for each year from 2016 to 2022:
- 2016: $400
- 2017: $600
- 2018: $500
- 2019: $700
- 2020: $600
- 2021: $800
- 2022: $700
- Add these values:
$$
400 + 600 + 500 + 700 + 600 + 800 + 700 = 4300
$$
Answer: $4300
---
Final Answers
1. $300
2. Kirsten
3. $1200
4. 2022
5. $600
6. Kirsten
7. $4500
8. $4300
$$
\boxed{4500}
$$
Parent Tip: Review the logic above to help your child master the concept of interpreting line graphs worksheet.
