Math Problem Statement

A formula for converting degrees Fahrenheit (F) to degrees Celsius (C) is given by the formula C = 3(F - 32). Solve the formula for F in terms of C.

Solution

To solve the formula C=3(F32)C = 3(F - 32) for FF in terms of CC, follow these steps:

  1. Start with the given formula: C=3(F32)C = 3(F - 32)

  2. Divide both sides by 3 to isolate the term (F32)(F - 32): C3=F32\frac{C}{3} = F - 32

  3. Add 32 to both sides to solve for FF: F=C3+32F = \frac{C}{3} + 32

Thus, the formula for converting Celsius to Fahrenheit is: F=C3+32F = \frac{C}{3} + 32

Would you like any further details or explanations?

Here are 5 related questions to expand on this topic:

  1. What is the formula for converting Celsius to Fahrenheit using the standard conversion?
  2. If the temperature is 100°F, what is the equivalent temperature in Celsius using the formula C=3(F32)C = 3(F - 32)?
  3. How does the formula C=3(F32)C = 3(F - 32) compare to the standard conversion formula C=59(F32)C = \frac{5}{9}(F - 32)?
  4. Can you solve for FF using the standard conversion formula between Fahrenheit and Celsius?
  5. What is the interpretation of the factor "3" in the formula C=3(F32)C = 3(F - 32)?

Tip: Always remember to isolate the variable you're solving for step by step to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Temperature Conversion

Formulas

C = 3(F - 32)
F = C/3 + 32

Theorems

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Suitable Grade Level

Grades 6-8