Math Problem Statement

Janae records the temperature at noon on the first day of winter. She records the temperature again at 7:00 p.m. and finds that it has decreased by 8°F. Which of these could be the temperatures Janae records? Choose all that are correct.

Solution

The question in the image states that Janae records the temperature at noon and finds that the temperature has decreased by 8°F by 7:00 p.m. The task is to identify which of the given temperature pairs (noon and 7:00 p.m.) match this condition.

Let's analyze each option based on this condition:

  1. 4°F at noon and -4°F at 7:00 p.m.

    • Change: 4(4)=4+4=84 - (-4) = 4 + 4 = 8 → This fits the condition.
  2. 8°F at noon and -8°F at 7:00 p.m.

    • Change: 8(8)=8+8=168 - (-8) = 8 + 8 = 16 → This does not fit the condition.
  3. 5°F at noon and -3°F at 7:00 p.m.

    • Change: 5(3)=5+3=85 - (-3) = 5 + 3 = 8 → This fits the condition.
  4. -2°F at noon and 6°F at 7:00 p.m.

    • Change: 26=8-2 - 6 = -8 → This does not fit the condition since the change is positive, not negative.

Thus, the correct answers are:

  • Option 1 (4°F at noon and -4°F at 7:00 p.m.)
  • Option 3 (5°F at noon and -3°F at 7:00 p.m.)

Would you like further clarification or details on any part of the explanation?

Here are 5 related questions for deeper understanding:

  1. How do you calculate temperature changes involving negative numbers?
  2. Why is the subtraction of negative temperatures tricky in real-world contexts?
  3. What are some real-world examples where temperature decreases are significant?
  4. Can you describe a scenario where temperature changes affect daily activities?
  5. How would this problem change if the temperature drop was a fractional degree?

Tip: When subtracting negative numbers, remember that subtracting a negative is equivalent to adding its positive value.

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Math Problem Analysis

Mathematical Concepts

Temperature Changes
Subtraction of Negative Numbers
Real-World Math Applications

Formulas

Temperature Change = Noon Temperature - Evening Temperature

Theorems

Properties of Negative Numbers

Suitable Grade Level

Grades 6-8