On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?

1. Rise 4°
2. Rise 9° Rise
3. Fall 4°
4. Fall 5°

To return to the initial temperature of 81°F, the temperature needs to rise by 4°F.

Therefore, the answer is:

1. Rise 4°

To return to the initial temperature of 81°F, we need to calculate the net change in temperature after it dropped 9°F and then rose 5°F.

Net change = Drop + Rise

Net change = -9°F + 5°F

Net change = -4°F

Since the net change is -4°F, the temperature needs to fall 4°F to return to the initial temperature of 81°F. Therefore, the correct option is:

3. Fall 4°

To find out how much the temperature needs to rise or fall to return to the initial temperature of 81°F, we need to reverse the operations that occurred.

First, the temperature dropped 9°F. To reverse this, we need to add 9°F back to the current temperature.

Then, the temperature rose 5°F. Similarly, to reverse this, we need to subtract 5°F from the temperature after the previous step.

Starting with the initial temperature of 81°F:

81°F - 9°F + 5°F = 77°F

So, to return to the initial temperature of 81°F, the temperature needs to rise 4°F. Therefore, the correct answer is:

1. Rise 4°F