Answer :
Sure! Let's solve the problem step-by-step using dimensional analysis:
### Problem
A student is in class for 400 minutes every day for 5 days each week. We need to find out how many seconds this equals.
### Conversion Factors
1. 1 minute = 60 seconds
### Steps to Solve
1. Calculate the total number of minutes per week:
- The student is in class for 400 minutes each day.
- They attend class for 5 days each week.
- Therefore, the total number of minutes per week is:
[tex]\[
400 \, \text{minutes/day} \times 5 \, \text{days/week} = 2000 \, \text{minutes/week}
\][/tex]
2. Convert the total number of minutes to seconds:
- We know that 1 minute = 60 seconds.
- Therefore, the total number of seconds is:
[tex]\[
2000 \, \text{minutes} \times 60 \, \text{seconds/minute} = 120,000 \, \text{seconds}
\][/tex]
### Conclusion
The total number of seconds a student is in class per week is [tex]\(120,000\)[/tex] seconds.
Therefore, the correct answer is:
[tex]\[
120,000 \, \text{seconds}
\][/tex]
### Problem
A student is in class for 400 minutes every day for 5 days each week. We need to find out how many seconds this equals.
### Conversion Factors
1. 1 minute = 60 seconds
### Steps to Solve
1. Calculate the total number of minutes per week:
- The student is in class for 400 minutes each day.
- They attend class for 5 days each week.
- Therefore, the total number of minutes per week is:
[tex]\[
400 \, \text{minutes/day} \times 5 \, \text{days/week} = 2000 \, \text{minutes/week}
\][/tex]
2. Convert the total number of minutes to seconds:
- We know that 1 minute = 60 seconds.
- Therefore, the total number of seconds is:
[tex]\[
2000 \, \text{minutes} \times 60 \, \text{seconds/minute} = 120,000 \, \text{seconds}
\][/tex]
### Conclusion
The total number of seconds a student is in class per week is [tex]\(120,000\)[/tex] seconds.
Therefore, the correct answer is:
[tex]\[
120,000 \, \text{seconds}
\][/tex]
