Question
Jennifer uses rainwater from a barrel to water her garden. The diagram shows the amount of water she used during a 4-day period.

Which of the following is closest to the fraction of a full barrel of water that Jennifer used per day?
A.
14
B.
112
C.
12
D.

Which of the following is closest to the fraction of a full barrel of water that Jennifer used per day?
A.
14
B.
112
C.
12
D.
Answers
GPT-4o mini
In order to determine the fraction of a full barrel of water that Jennifer used per day, we first need to know the total amount of water used over the 4-day period and the fraction of the barrel that this amount represents.
1. **Calculate Total Water Used:**
If the diagram provides the total amount of water used over the 4 days, we will let’s assume Jennifer used a total amount of \( x \). (Since the diagram is not provided here, you will need to refer to it to get this total).
2. **Determine Daily Usage:**
The daily average amount of water used can be calculated by dividing the total amount of water used by 4 (the number of days).
\[
\text{Daily usage} = \frac{x}{4}
\]
3. **Calculating Fraction of Full Barrel Used Per Day:**
If we denote the full barrel as \( y \) (again, based on the diagram), then the fraction of the full barrel used per day is:
\[
\text{Fraction per day} = \frac{\text{Daily usage}}{y} = \frac{\frac{x}{4}}{y} = \frac{x}{4y}
\]
4. **Analyze Options:**
Without the exact numbers, let’s evaluate the choices:
- \( \frac{1}{4} \): If she uses \( 1/4 \) of the barrel in total over 4 days, that would be \( \frac{1/4}{4} = \frac{1}{16} \).
- \( \frac{1}{12} \): This would imply in total she used \( 1/3 \) of the barrel which is \( \frac{1/3}{4} = \frac{1}{12} \) per day.
- \( \frac{1}{14} \) and \( \frac{1}{112} \) would similarly depend on specific totals from the diagram.
### Conclusion:
Without the exact values from the diagram, it appears the correct choice depends heavily on the total quantities given. However, with ambiguous details, you may want to compute the total water used and then use it to find the daily usage fraction according to the steps above.
Ultimately, please refer to the diagram for precise values and ensure that you can calculate \( x \) and \( y \) to select the closest answer \( A. \frac{1}{4}, B. \frac{1}{12}, C. \frac{1}{14}, D. \frac{1}{112} \) accordingly. If you provide the actual amounts, I could assist more specifically!
1. **Calculate Total Water Used:**
If the diagram provides the total amount of water used over the 4 days, we will let’s assume Jennifer used a total amount of \( x \). (Since the diagram is not provided here, you will need to refer to it to get this total).
2. **Determine Daily Usage:**
The daily average amount of water used can be calculated by dividing the total amount of water used by 4 (the number of days).
\[
\text{Daily usage} = \frac{x}{4}
\]
3. **Calculating Fraction of Full Barrel Used Per Day:**
If we denote the full barrel as \( y \) (again, based on the diagram), then the fraction of the full barrel used per day is:
\[
\text{Fraction per day} = \frac{\text{Daily usage}}{y} = \frac{\frac{x}{4}}{y} = \frac{x}{4y}
\]
4. **Analyze Options:**
Without the exact numbers, let’s evaluate the choices:
- \( \frac{1}{4} \): If she uses \( 1/4 \) of the barrel in total over 4 days, that would be \( \frac{1/4}{4} = \frac{1}{16} \).
- \( \frac{1}{12} \): This would imply in total she used \( 1/3 \) of the barrel which is \( \frac{1/3}{4} = \frac{1}{12} \) per day.
- \( \frac{1}{14} \) and \( \frac{1}{112} \) would similarly depend on specific totals from the diagram.
### Conclusion:
Without the exact values from the diagram, it appears the correct choice depends heavily on the total quantities given. However, with ambiguous details, you may want to compute the total water used and then use it to find the daily usage fraction according to the steps above.
Ultimately, please refer to the diagram for precise values and ensure that you can calculate \( x \) and \( y \) to select the closest answer \( A. \frac{1}{4}, B. \frac{1}{12}, C. \frac{1}{14}, D. \frac{1}{112} \) accordingly. If you provide the actual amounts, I could assist more specifically!