Answer:
Part A: To find the temperature at 6:00 p.m., we need to sum up the temperature changes from 2:00 p.m. to 6:00 p.m.
Starting temperature at 2:00 p.m. = 82°F
Temperature change from 2:00 p.m. to 3:00 p.m. = 8°F
Temperature change from 3:00 p.m. to 4:00 p.m. = 5°F
Temperature change from 4:00 p.m. to 5:00 p.m. = 3°F
Temperature change from 5:00 p.m. to 6:00 p.m. = -6°F
To find the temperature at 6:00 p.m., we add up all the temperature changes to the starting temperature:
82°F + 8°F + 5°F + 3°F - 6°F = 92°F
Therefore, the temperature at 6:00 p.m. is 92°F.
Part B: The temperature dropped by 6°F each hour from 4:00 a.m. to 8:00 a.m. We need to find the beginning temperature at 4:00 a.m. given that the temperature at 8:00 a.m. was -7°F.
Temperature change from 4:00 a.m. to 8:00 a.m. = 4 hours * -6°F/hour = -24°F
To find the beginning temperature at 4:00 a.m., we need to add the temperature change to the temperature at 8:00 a.m.:
-7°F + (-24°F) = -31°F
Therefore, the beginning temperature at 4:00 a.m. was -31°F.
Part C: It is possible for Erin and Brady to arrive at the correct answer even if they used different methods. While Brady mentioned using multiplication, Erin might have used addition or subtraction to solve the problem.
For example, if the temperature dropped by 6°F each hour for 4 hours, Erin might have subtracted 6°F from the temperature at each hour to find the total temperature drop.
On the other hand, Brady might have multiplied the temperature drop (-6°F) by the number of hours (4) to find the total temperature drop.
Both methods would lead to the same answer (-24°F in this case), showing that different approaches can still yield the correct result in mathematics.
Explanation: