Question
Draw and use a double number line diagram to model and solve the given problem.
Jean's printing press prints 4,420 newspapers in 4 hours. If the press prints the newspapers at the same pace, how many newspapers will the printing press print in 10 hours?
A.
11,050
B.
8,800
C.
1,105
D.
8,000
Jean's printing press prints 4,420 newspapers in 4 hours. If the press prints the newspapers at the same pace, how many newspapers will the printing press print in 10 hours?
A.
11,050
B.
8,800
C.
1,105
D.
8,000
Answers
GPT-4o mini
To solve the problem using a double number line diagram, we will first determine the rate at which the printing press prints newspapers.
1. **Calculate the rate of newspapers printed per hour.**
Jean's printing press prints 4,420 newspapers in 4 hours. To find the rate, we divide the total number of newspapers by the number of hours.
\[
\text{Rate} = \frac{4,420 \text{ newspapers}}{4 \text{ hours}} = 1,105 \text{ newspapers per hour}
\]
2. **Set up the double number line.**
We will create two scales: one for the number of hours and another for the number of newspapers.
- On the first line, we will mark the hours (0, 4, 10).
- On the second line, we will mark the corresponding number of newspapers printed based on the calculated rate.
3. **Fill in the double number line.**
- At 0 hours, 0 newspapers are printed.
- At 4 hours, 4,420 newspapers are printed.
- To find how many newspapers are printed in 10 hours, we can multiply the rate by the number of hours:
\[
\text{Newspapers in 10 hours} = 1,105 \text{ newspapers/hour} \times 10 \text{ hours} = 11,050 \text{ newspapers}
\]
4. **Final markings on the double number line.**
- \( 0 \text{ hours} \) - \( 0 \text{ newspapers} \)
- \( 4 \text{ hours} \) - \( 4,420 \text{ newspapers} \)
- \( 10 \text{ hours} \) - \( 11,050 \text{ newspapers} \)
5. **Conclusion:**
The printing press will print **11,050 newspapers** in 10 hours.
Therefore, the answer is:
**A. 11,050**
1. **Calculate the rate of newspapers printed per hour.**
Jean's printing press prints 4,420 newspapers in 4 hours. To find the rate, we divide the total number of newspapers by the number of hours.
\[
\text{Rate} = \frac{4,420 \text{ newspapers}}{4 \text{ hours}} = 1,105 \text{ newspapers per hour}
\]
2. **Set up the double number line.**
We will create two scales: one for the number of hours and another for the number of newspapers.
- On the first line, we will mark the hours (0, 4, 10).
- On the second line, we will mark the corresponding number of newspapers printed based on the calculated rate.
3. **Fill in the double number line.**
- At 0 hours, 0 newspapers are printed.
- At 4 hours, 4,420 newspapers are printed.
- To find how many newspapers are printed in 10 hours, we can multiply the rate by the number of hours:
\[
\text{Newspapers in 10 hours} = 1,105 \text{ newspapers/hour} \times 10 \text{ hours} = 11,050 \text{ newspapers}
\]
4. **Final markings on the double number line.**
- \( 0 \text{ hours} \) - \( 0 \text{ newspapers} \)
- \( 4 \text{ hours} \) - \( 4,420 \text{ newspapers} \)
- \( 10 \text{ hours} \) - \( 11,050 \text{ newspapers} \)
5. **Conclusion:**
The printing press will print **11,050 newspapers** in 10 hours.
Therefore, the answer is:
**A. 11,050**