To answer the question and compare Seung and Razi's bag-filling progress, we need to determine their rates of filling bags. Let’s break it down step-by-step.
### Razi's Bag-Filling Rate
The table gives us Razi's progress over time:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Time (min.)}, x & \text{Bags Remaining}, y \\
\hline
0 & 52 \\
\hline
1 & 48 \\
\hline
2 & 44 \\
\hline
3 & 40 \\
\hline
4 & 36 \\
\hline
\end{array}
\][/tex]
We can find Razi's bag-filling rate by looking at the change in the number of bags over time.
- From 0 to 3 minutes:
- Initial bags: 52
- Bags after 3 minutes: 40
- Change in bags: [tex]\(52 - 40 = 12\)[/tex]
- Time interval: 3 minutes
- Rate: [tex]\(\frac{12}{3} = 4 \text{ bags/minute}\)[/tex]
- From 0 to 4 minutes:
- Initial bags: 52
- Bags after 4 minutes: 36
- Change in bags: [tex]\(52 - 36 = 16\)[/tex]
- Time interval: 4 minutes
- Rate: [tex]\(\frac{16}{4} = 4 \text{ bags/minute}\)[/tex]
So, Razi fills bags at a rate of 4 bags per minute.
### Seung's Bag-Filling Rate
Seung's progress is given as:
- After 3 minutes: 34 bags remaining
- After 4 minutes: 31 bags remaining
To find Seung's bag-filling rate:
- Change in bags: [tex]\(34 - 31 = 3\)[/tex]
- Time interval: [tex]\(4 - 3 = 1\)[/tex] minute
- Rate: [tex]\(\frac{3}{1} = 3 \text{ bags/minute}\)[/tex]
So, Seung fills bags at a rate of 3 bags per minute.
### Comparing Rates
Razi fills 4 bags per minute, while Seung fills 3 bags per minute. Therefore, each minute Seung fills 1 bag less than Razi.
Conclusively, each minute Seung fills 1 less bag than Razi.
