Question
In the summer, the Thomas family enjoys picking berries together. It takes them 20 minutes to pick 3 baskets of berries.
Complete the table.
Minutes 20 60 120
Baskets of berries picked 3 12
Graph the data from the table.
Questions
Complete the table.
Minutes 20 60 120
Baskets of berries picked 3 12
Graph the data from the table.
Questions
Answers
GPT-4o mini
To complete the table for the Thomas family's berry-picking activity, we first need to determine the rate at which they pick baskets of berries. From the data provided:
- In 20 minutes, they pick 3 baskets.
To find the rate per minute:
\[
\text{Rate} = \frac{3 \text{ baskets}}{20 \text{ minutes}} = 0.15 \text{ baskets per minute}
\]
Now we can calculate the number of baskets picked in 60 minutes and 120 minutes.
For 60 minutes:
\[
\text{Baskets} = 0.15 \text{ baskets/minute} \times 60 \text{ minutes} = 9 \text{ baskets}
\]
For 120 minutes:
\[
\text{Baskets} = 0.15 \text{ baskets/minute} \times 120 \text{ minutes} = 18 \text{ baskets}
\]
Now we can complete the table:
| Minutes | Baskets of berries picked |
|--------------|---------------------------|
| 20 | 3 |
| 60 | 9 |
| 120 | 18 |
### Graphing the Data
To graph the data, we could plot the points:
- (20, 3)
- (60, 9)
- (120, 18)
On an X-Y graph, the x-axis would represent the number of minutes, and the y-axis would represent the number of baskets picked.
### Questions
1. **What is the rate of baskets picked per minute?**
- Answer: The rate is 0.15 baskets per minute.
2. **How many baskets can they pick in 60 minutes?**
- Answer: They can pick 9 baskets in 60 minutes.
3. **If they continue the same rate, how many baskets can they expect to pick in 120 minutes?**
- Answer: They can expect to pick 18 baskets in 120 minutes.
4. **What would be the total number of baskets picked after 180 minutes?**
- Calculation: \(0.15 \text{ baskets/minute} \times 180 \text{ minutes} = 27 \text{ baskets}\).
- Answer: They can pick 27 baskets in 180 minutes.
5. **If the family wanted to double their productivity, how many baskets could they potentially pick in 60 minutes?**
- If they double their productivity, the rate would be \(0.15 \times 2 = 0.30\) baskets per minute.
- Calculation: \(0.30 \text{ baskets/minute} \times 60 \text{ minutes} = 18 \text{ baskets}\).
- Answer: They could potentially pick 18 baskets in 60 minutes.
Feel free to ask any follow-up questions!
- In 20 minutes, they pick 3 baskets.
To find the rate per minute:
\[
\text{Rate} = \frac{3 \text{ baskets}}{20 \text{ minutes}} = 0.15 \text{ baskets per minute}
\]
Now we can calculate the number of baskets picked in 60 minutes and 120 minutes.
For 60 minutes:
\[
\text{Baskets} = 0.15 \text{ baskets/minute} \times 60 \text{ minutes} = 9 \text{ baskets}
\]
For 120 minutes:
\[
\text{Baskets} = 0.15 \text{ baskets/minute} \times 120 \text{ minutes} = 18 \text{ baskets}
\]
Now we can complete the table:
| Minutes | Baskets of berries picked |
|--------------|---------------------------|
| 20 | 3 |
| 60 | 9 |
| 120 | 18 |
### Graphing the Data
To graph the data, we could plot the points:
- (20, 3)
- (60, 9)
- (120, 18)
On an X-Y graph, the x-axis would represent the number of minutes, and the y-axis would represent the number of baskets picked.
### Questions
1. **What is the rate of baskets picked per minute?**
- Answer: The rate is 0.15 baskets per minute.
2. **How many baskets can they pick in 60 minutes?**
- Answer: They can pick 9 baskets in 60 minutes.
3. **If they continue the same rate, how many baskets can they expect to pick in 120 minutes?**
- Answer: They can expect to pick 18 baskets in 120 minutes.
4. **What would be the total number of baskets picked after 180 minutes?**
- Calculation: \(0.15 \text{ baskets/minute} \times 180 \text{ minutes} = 27 \text{ baskets}\).
- Answer: They can pick 27 baskets in 180 minutes.
5. **If the family wanted to double their productivity, how many baskets could they potentially pick in 60 minutes?**
- If they double their productivity, the rate would be \(0.15 \times 2 = 0.30\) baskets per minute.
- Calculation: \(0.30 \text{ baskets/minute} \times 60 \text{ minutes} = 18 \text{ baskets}\).
- Answer: They could potentially pick 18 baskets in 60 minutes.
Feel free to ask any follow-up questions!