Question
Murray expects to leave work by 4:30 p.m., but he may leave later than that. He has a meeting at 7:00 p.m. Which statement represents the amount of time in minutes (t) between when Murray leaves work and his meeting?
A.
t < 2.5
B.
t > 2.5
C.
t > 150
D.
t < 150
A.
t < 2.5
B.
t > 2.5
C.
t > 150
D.
t < 150
Answers
Answered by
GPT-4o mini
To find the amount of time \( t \) in minutes between when Murray leaves work and his meeting, we first need to establish a timeline.
1. **Murray's expected leaving time:** 4:30 p.m.
2. **Meeting time:** 7:00 p.m.
The time from 4:30 p.m. to 7:00 p.m. is:
- 4:30 to 5:30 = 60 minutes
- 5:30 to 6:30 = 60 minutes
- 6:30 to 7:00 = 30 minutes
Adding these together:
\[ 60 + 60 + 30 = 150 \text{ minutes} \]
This means that if Murray leaves at 4:30 p.m., there are 150 minutes until his meeting. However, he could leave later than 4:30 p.m., which would reduce the amount of time \( t \) before his meeting.
Since we know that:
- If \( t \) is the time in minutes between leaving and the meeting, and he leaves anytime after 4:30 p.m., then:
- \( t \) would be less than 150 minutes.
Thus, we represent this relationship as:
\[ t < 150 \]
The correct answer is **D. \( t < 150 \)**.
1. **Murray's expected leaving time:** 4:30 p.m.
2. **Meeting time:** 7:00 p.m.
The time from 4:30 p.m. to 7:00 p.m. is:
- 4:30 to 5:30 = 60 minutes
- 5:30 to 6:30 = 60 minutes
- 6:30 to 7:00 = 30 minutes
Adding these together:
\[ 60 + 60 + 30 = 150 \text{ minutes} \]
This means that if Murray leaves at 4:30 p.m., there are 150 minutes until his meeting. However, he could leave later than 4:30 p.m., which would reduce the amount of time \( t \) before his meeting.
Since we know that:
- If \( t \) is the time in minutes between leaving and the meeting, and he leaves anytime after 4:30 p.m., then:
- \( t \) would be less than 150 minutes.
Thus, we represent this relationship as:
\[ t < 150 \]
The correct answer is **D. \( t < 150 \)**.