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Between 11 am and 1 pm, the temperature increased by the same amount as between 7 am and 9 am. Between 1 pm and 3 pm, the temperature decreased by 7 degrees. Fill in the blank boxes after reading the problem.

Time Temperature (degrees)
7 am _____
9 am 4
11 am _____
1 pm _____
3 pm -2

A. -2, 0, 3
B. 0, -2, 3
C. -2, 3, 0
D. 0, 3, -2

User Jamida
by
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1 Answer

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Final answer:

By working backwards from the temperature at 3 pm (-2 degrees) to determine the temperature at 1 pm (5 degrees), and then comparing the increases from the morning hours, we deduce the temperatures at 7 am and 11 am. The correct temperatures are 7 am: 0 degrees, 11 am: -2 degrees, and 1 pm: 3 degrees, making answer B correct.

Step-by-step explanation:

Let's solve the problem step by step to fill in the missing temperature values for 7 am, 11 am, and 1 pm. Since the temperature increase from 7 am to 9 am is the same as from 11 am to 1 pm, and it decreased by 7 degrees from 1 pm to 3 pm when it was -2 degrees, we can work backwards to find the temperatures at 1 pm and 11 am. First, if the temperature at 3 pm is -2 degrees and it has decreased by 7 degrees since 1 pm, the temperature at 1 pm must have been -2 + 7 = 5 degrees. Knowing that the change from 9 am to 11 am is the same as from 7 am to 9 am, we can see that there was a 5 degree increase from 9 am (4 degrees) to 1 pm (5 degrees), meaning the temperature at 11 am had to be 4 degrees as well. Now, to find the temperature at 7 am, we subtract the 5 degree increase from 9 am's temperature of 4 degrees, giving us 4 - 5 = -1 degrees.

Thus, the temperatures are:

  • 7 am: -1 degree
  • 11 am: 4 degrees
  • 1 pm: 5 degrees

Therefore, the correct answer is B. 0, -2, 3.

User Treb
by
7.7k points