Answer :
Answer:
To determine at what time the temperature would be 8°C and what the temperature would be at midnight, we can calculate as follows:
Given:
- Temperature at 12 noon = 10°C
- Temperature decreases at a rate of 2°C per hour
Let's find out how many hours it takes for the temperature to decrease from 10°C to 8°C:
1. **Calculate the time to reach 8°C:**
Temperature decrease needed = 10°C - 8°C = 2°C
Rate of decrease = 2°C per hour
Time (hours) = Decrease needed / Rate of decrease
= 2°C / 2°C per hour
= 1 hour
Therefore, it will take 1 hour from 12 noon to reach 8°C.
Time when temperature reaches 8°C = 12 noon + 1 hour
= 1 PM
So, the temperature would be 8°C at 1 PM.
2. **Calculate the temperature at midnight:**
From 12 noon to midnight, there are 12 hours (since there are 12 hours from noon to midnight).
Temperature decrease = Rate of decrease × Time
= 2°C per hour × 12 hours
= 24°C
Final temperature at midnight = Initial temperature - Temperature decrease
= 10°C - 24°C
= -14°C
Therefore, the temperature at midnight would be -14°C.
**Summary:**
- The temperature would be 8°C at 1 PM.
- The temperature at midnight would be -14°C.
Step-by-step explanation:
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