Math Problem Statement

Maya is planning on visiting Fairbanks next week on business. Checking her WorldTemp app, she notices that on the day she arrives, the high temperature is forecast to be -12.3°F. What is this temperature in degrees Celsius (°C)?

Solution

The question in the image asks to convert a temperature from Fahrenheit to Celsius. The formula provided for this conversion is:

C=59×(F32)C = \frac{5}{9} \times (F - 32)

Here, the Fahrenheit temperature is given as F=12.3F = -12.3°F. To find the corresponding Celsius temperature, substitute the value into the formula:

C=59×(12.332)C = \frac{5}{9} \times (-12.3 - 32)

Now, let's perform the calculation to get the Celsius value. Given Fahrenheit temperature F = -12.3

Conversion formula

C = (5/9) * (F - 32) CThe temperature in Celsius is approximately 24.6C-24.6^\circ C when rounded to the nearest tenth of a degree.

Would you like further clarification on this process? Or do you have any other questions?

Here are five related questions to explore further:

  1. How do you convert from Celsius to Fahrenheit?
  2. What is the freezing point of water in both Celsius and Fahrenheit?
  3. What other temperature conversion formulas exist?
  4. How do negative temperatures work in temperature conversions?
  5. Can you explain the relationship between Celsius and Kelvin scales?

Tip: When converting temperatures, always make sure to round your final answer to the required precision, whether it’s to the nearest whole number or to a decimal place!

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Math Problem Analysis

Mathematical Concepts

Temperature Conversion
Algebra
Unit Conversion

Formulas

C = (5/9) * (F - 32)

Theorems

Fahrenheit to Celsius Conversion

Suitable Grade Level

Grades 6-8