Double Bar Graph interactive worksheet - Free Printable
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Step-by-step solution for: Double Bar Graph interactive worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Double Bar Graph interactive worksheet
Let's solve each question step by step using the bar graph provided in the worksheet.
---
- The x-axis represents weeks (Week 1 to Week 5).
- The y-axis represents the number of broccoli heads picked (from 0 to 500, in increments of 100).
- Orange bars = Farm 1
- Green bars = Farm 2
We will read the values from the graph:
| Week | Farm 1 | Farm 2 |
|------|--------|--------|
| 1 | 250 | 400 |
| 2 | 300 | 300 |
| 3 | 400 | 300 |
| 4 | 150 | 400 |
| 5 | 400 | 100 |
> Note: Values are estimated based on the height of the bars relative to the grid.
---
We need to sum all the broccoli heads picked by both farms over the 5 weeks.
#### Step-by-step:
- Week 1: 250 + 400 = 650
- Week 2: 300 + 300 = 600
- Week 3: 400 + 300 = 700
- Week 4: 150 + 400 = 550
- Week 5: 400 + 100 = 500
Now add them up:
$$
650 + 600 = 1250 \\
1250 + 700 = 1950 \\
1950 + 550 = 2500 \\
2500 + 500 = 3000
$$
✔ Answer: 3000 broccoli heads
---
From the table above, Farm 2 in Week 1 = 400
✔ Answer: 400
---
In Week 5:
- Farm 1: 400
- Farm 2: 100
- Total = 400 + 100 = 500
Percentage picked by Farm 2:
$$
\frac{100}{500} \times 100\% = 20\%
$$
✔ Answer: 20%
---
Total broccoli picked by Farm 2:
- Week 1: 400
- Week 2: 300
- Week 3: 300
- Week 4: 400
- Week 5: 100
Sum = 400 + 300 + 300 + 400 + 100 = 1500
Total broccoli picked by both farms = 3000 (from Q1)
So, percentage picked by Farm 2:
$$
\frac{1500}{3000} \times 100\% = 50\%
$$
✔ Answer: 50%
---
This sentence is a bit confusing. Let's analyze it carefully.
It says:
> "What is the ratio of the picked broccoli heads in week 2 to that of week 3 any broccoli heads did farm 2 pick in week1?"
This seems like a typo or misphrased. Likely intended meaning is:
> "What is the ratio of the broccoli heads picked by farm 2 in week 2 to those picked in week 3?"
But then it says “any broccoli heads did farm 2 pick in week1?” — which doesn't fit grammatically.
Alternatively, maybe it's asking for two things:
1. Ratio of farm 2’s harvest in week 2 to week 3.
2. How many broccoli heads did farm 2 pick in week 1?
But since it says "ratio... to that of week 3" and then adds another clause, perhaps it's just asking for the ratio of farm 2's harvest in week 2 to week 3, and the second part is a typo.
Let’s assume the intended question is:
> What is the ratio of the broccoli heads picked by farm 2 in week 2 to that in week 3?
Farm 2:
- Week 2: 300
- Week 3: 300
Ratio = $ \frac{300}{300} = 1:1 $
✔ Answer: 1:1
> If the question really meant something else, such as comparing week 2 to week 1, then:
> - Week 2: 300
> - Week 1: 400
> - Ratio = 300:400 = 3:4
But given the wording "week 2 to that of week 3", it's more likely 1:1.
Also, the phrase “any broccoli heads did farm 2 pick in week1?” seems like a misplaced or garbled sentence.
---
1) 3000 broccoli heads
2) 400 broccoli heads
3) 20%
4) 50%
5) 1:1 (assuming comparison between week 2 and week 3 for Farm 2)
---
Let me know if you'd like a cleaned-up version of the worksheet or help interpreting the graph further!
---
Understanding the Graph
- The x-axis represents weeks (Week 1 to Week 5).
- The y-axis represents the number of broccoli heads picked (from 0 to 500, in increments of 100).
- Orange bars = Farm 1
- Green bars = Farm 2
We will read the values from the graph:
| Week | Farm 1 | Farm 2 |
|------|--------|--------|
| 1 | 250 | 400 |
| 2 | 300 | 300 |
| 3 | 400 | 300 |
| 4 | 150 | 400 |
| 5 | 400 | 100 |
> Note: Values are estimated based on the height of the bars relative to the grid.
---
Question 1: How many broccoli heads were picked by both farms in these 5 weeks?
We need to sum all the broccoli heads picked by both farms over the 5 weeks.
#### Step-by-step:
- Week 1: 250 + 400 = 650
- Week 2: 300 + 300 = 600
- Week 3: 400 + 300 = 700
- Week 4: 150 + 400 = 550
- Week 5: 400 + 100 = 500
Now add them up:
$$
650 + 600 = 1250 \\
1250 + 700 = 1950 \\
1950 + 550 = 2500 \\
2500 + 500 = 3000
$$
✔ Answer: 3000 broccoli heads
---
Question 2: How many broccoli heads did farm 2 pick in week 1?
From the table above, Farm 2 in Week 1 = 400
✔ Answer: 400
---
Question 3: What percentage of the broccoli harvested in week 5 was picked by farm 2?
In Week 5:
- Farm 1: 400
- Farm 2: 100
- Total = 400 + 100 = 500
Percentage picked by Farm 2:
$$
\frac{100}{500} \times 100\% = 20\%
$$
✔ Answer: 20%
---
Question 4: What percentage of the total number of broccoli was picked by farm 2?
Total broccoli picked by Farm 2:
- Week 1: 400
- Week 2: 300
- Week 3: 300
- Week 4: 400
- Week 5: 100
Sum = 400 + 300 + 300 + 400 + 100 = 1500
Total broccoli picked by both farms = 3000 (from Q1)
So, percentage picked by Farm 2:
$$
\frac{1500}{3000} \times 100\% = 50\%
$$
✔ Answer: 50%
---
Question 5: What is the ratio of the picked broccoli heads in week 2 to that of week 3 any broccoli heads did farm 2 pick in week1?
This sentence is a bit confusing. Let's analyze it carefully.
It says:
> "What is the ratio of the picked broccoli heads in week 2 to that of week 3 any broccoli heads did farm 2 pick in week1?"
This seems like a typo or misphrased. Likely intended meaning is:
> "What is the ratio of the broccoli heads picked by farm 2 in week 2 to those picked in week 3?"
But then it says “any broccoli heads did farm 2 pick in week1?” — which doesn't fit grammatically.
Alternatively, maybe it's asking for two things:
1. Ratio of farm 2’s harvest in week 2 to week 3.
2. How many broccoli heads did farm 2 pick in week 1?
But since it says "ratio... to that of week 3" and then adds another clause, perhaps it's just asking for the ratio of farm 2's harvest in week 2 to week 3, and the second part is a typo.
Let’s assume the intended question is:
> What is the ratio of the broccoli heads picked by farm 2 in week 2 to that in week 3?
Farm 2:
- Week 2: 300
- Week 3: 300
Ratio = $ \frac{300}{300} = 1:1 $
✔ Answer: 1:1
> If the question really meant something else, such as comparing week 2 to week 1, then:
> - Week 2: 300
> - Week 1: 400
> - Ratio = 300:400 = 3:4
But given the wording "week 2 to that of week 3", it's more likely 1:1.
Also, the phrase “any broccoli heads did farm 2 pick in week1?” seems like a misplaced or garbled sentence.
---
✔ Final Answers:
1) 3000 broccoli heads
2) 400 broccoli heads
3) 20%
4) 50%
5) 1:1 (assuming comparison between week 2 and week 3 for Farm 2)
---
Let me know if you'd like a cleaned-up version of the worksheet or help interpreting the graph further!
Parent Tip: Review the logic above to help your child master the concept of double bar graphs worksheet.