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.

Question

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?

Responses
A Fall 7°FFall 7°F
B Rise 7°FRise 7°F
C Fall 3°FFall 3°F
D Rise 3°F

Answer 1

Let's break down the temperature changes step by step:

1. At 6:00 A.M., the temperature is 33°F.
2. By noon, the temperature increases by 10°F:
   • \( 33°F + 10°F = 43°F \)
3. By 3:00 P.M., the temperature increases by another 12°F:
   • \( 43°F + 12°F = 55°F \)
4. At 10:00 P.M., the temperature decreases by 15°F:
   • \( 55°F - 15°F = 40°F \)

Now we need to determine how much the temperature at 10:00 P.M. (40°F) needs to change to return to the original temperature of 33°F:

To return to 33°F from 40°F, we need to fall:

• \( 40°F - 33°F = 7°F \)

Thus, the answer is:

A. Fall 7°F