At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?

At 10:00, temp = (33+10+12-15)°F = ....

compare that with the original 33° at 6:00 am

To find out how much the temperature needs to rise or fall to return to the original temperature of 33°F, we need to calculate the net change in temperature throughout the day.

First, let's determine the temperature at noon. The temperature at 6:00 A.M. was 33°F, and it increased by 10°F, so the temperature at noon was 33°F + 10°F = 43°F.

Next, let's calculate the temperature at 3:00 P.M. It increased by another 12°F from noon, so the temperature at 3:00 P.M. was 43°F + 12°F = 55°F.

Now, we need to find the temperature at 10:00 P.M. It decreased by 15°F from 3:00 P.M., so the temperature at 10:00 P.M. was 55°F - 15°F = 40°F.

To determine how much the temperature needs to rise or fall to return to the original temperature of 33°F, we can subtract the current temperature (40°F) from the original temperature (33°F).

So, the temperature needs to fall by 33°F - 40°F = -7°F to return to the original temperature.

In other words, the temperature needs to fall by 7 degrees Fahrenheit to return to 33 degrees Fahrenheit.