When Tyrese fell asleep one night, the temperature was `24^(@)F`. When Tyrese awoke the next morning, the temperature was `-16^(@)F`. Letting + denote a rise in temperature and - denotes a drop in temperature, what was the change in temperature from the time Tyrese fell asleep until the time he awoke?

Options

A. `-40^(@)F`
B. `-8^(@)F`
C. `+4^(@)F`
D. `+8^(@)F`

Answer

To find the change in temperature from the time Tyrese fell asleep until he awoke, we can follow these steps:

1. **Identify the Initial and Final Temperatures**:
- The initial temperature when Tyrese fell asleep is \( 24^\circ F \).
- The final temperature when he awoke is \( -16^\circ F \).

2. **Use the Formula for Change in Temperature**:
- The change in temperature can be calculated using the formula:
\[ \text{Change in Temperature} = \text{Final Temperature} - \text{Initial Temperature} \]

3. **Substitute the Values**:
- Substitute the final and initial temperatures into the formula:
\[ \text{Change in Temperature} = -16^\circ F - 24^\circ F \]

4. **Perform the Calculation**:
- Calculate the change:
\[ \text{Change in Temperature} = -16 - 24 = -40^\circ F \]

5. **Interpret the Result**:
- The negative sign indicates a drop in temperature. Therefore, the temperature dropped by \( 40^\circ F \).

Thus, the change in temperature from the time Tyrese fell asleep until the time he awoke is \( -40^\circ F \).

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