Math Problem Statement

The lowest temperature on a winter morning was −8°F. Later that same day, the temperature reached a high of 24°F. By how many degrees Fahrenheit did the temperature increase?

Solution

The problem asks us to find by how many degrees Fahrenheit the temperature increased, given that the lowest temperature was 8F-8^\circ F and the highest was 24F24^\circ F.

Solution:

The temperature increase is calculated by finding the difference between the highest and lowest temperatures:

Increase=Final temperatureInitial temperature\text{Increase} = \text{Final temperature} - \text{Initial temperature} Increase=24F(8F)=24F+8F=32F\text{Increase} = 24^\circ F - (-8^\circ F) = 24^\circ F + 8^\circ F = 32^\circ F

Thus, the temperature increased by 32F32^\circ F.

The correct answer is E. 32°.

Would you like more details or have any other questions?

Here are 5 related questions for further practice:

  1. If the temperature dropped from 15°F to -10°F, what was the temperature decrease?
  2. If a temperature increased from -5°F to 10°F, by how many degrees Fahrenheit did it increase?
  3. How would you calculate the temperature change from 30°C to 50°C in Celsius?
  4. If the temperature fluctuates between -12°F and 20°F, what is the total change in temperature?
  5. If a day started at -2°F and ended at 28°F, what was the temperature difference?

Tip: When subtracting a negative number, it’s the same as adding its positive equivalent.

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Math Problem Analysis

Mathematical Concepts

Temperature difference
Subtraction
Negative numbers

Formulas

Temperature increase = Final temperature - Initial temperature

Theorems

Subtraction of negative numbers

Suitable Grade Level

Grades 5-7