Question
At noon the temperature was 6°C. Over the next five hours the temperature dropped a total of 8 degrees. Then every hour until 9:00 p.m. the temperature rose 4 degrees. What was the temperature at 9:00 p.m.?
Answers
GPT-4o mini
To find the temperature at 9:00 p.m., we can break down the problem step by step.
1. **Initial Temperature at noon**: 6°C.
2. **Temperature drop over the next five hours**: The temperature dropped a total of 8 degrees.
\[
\text{Temperature after 5 hours} = 6°C - 8°C = -2°C.
\]
3. **Time until 9:00 p.m.**: From noon to 9:00 p.m. is 9 hours. We've already accounted for the first 5 hours. So there are 4 more hours until 9:00 p.m.
4. **Temperature rise every hour**: The temperature rises by 4 degrees each hour for the remaining 4 hours.
\[
\text{Total temperature increase in 4 hours} = 4°C \times 4 = 16°C.
\]
5. **Calculate the temperature at 9:00 p.m.**:
\[
\text{Temperature at 9:00 p.m.} = -2°C + 16°C = 14°C.
\]
The temperature at 9:00 p.m. is **14°C**.
1. **Initial Temperature at noon**: 6°C.
2. **Temperature drop over the next five hours**: The temperature dropped a total of 8 degrees.
\[
\text{Temperature after 5 hours} = 6°C - 8°C = -2°C.
\]
3. **Time until 9:00 p.m.**: From noon to 9:00 p.m. is 9 hours. We've already accounted for the first 5 hours. So there are 4 more hours until 9:00 p.m.
4. **Temperature rise every hour**: The temperature rises by 4 degrees each hour for the remaining 4 hours.
\[
\text{Total temperature increase in 4 hours} = 4°C \times 4 = 16°C.
\]
5. **Calculate the temperature at 9:00 p.m.**:
\[
\text{Temperature at 9:00 p.m.} = -2°C + 16°C = 14°C.
\]
The temperature at 9:00 p.m. is **14°C**.