To find out how much the temperature needs to change to return to the initial temperature of 76 degrees, we can first calculate the adjusted temperature after the changes.
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Start with the initial temperature: \[ \text{Initial Temperature} = 76 \text{ degrees} \]
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The temperature drops by 9 degrees: \[ 76 - 9 = 67 \text{ degrees} \]
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The temperature then rises by 13 degrees: \[ 67 + 13 = 80 \text{ degrees} \]
Now, we need to determine how much the temperature needs to change to return to 76 degrees from the current temperature of 80 degrees.
- Calculate the difference: \[ 80 - 76 = 4 \text{ degrees} \]
Since the temperature is currently 80 degrees and we need to return to 76 degrees, it needs to fall by 4 degrees.
Thus, the temperature needs to fall by 4 degrees to return to the initial temperature of 76 degrees.