Math Problem Statement

The formula F = (9/5)C + 32 can be used to convert between degrees Celsius (C) and degrees Fahrenheit (F). What number of degrees Fahrenheit corresponds to 30° Celsius?

Solution

The formula for converting Celsius (°C) to Fahrenheit (°F) is:

F=95C+32F = \frac{9}{5}C + 32

Given:

C=30C = 30

Substituting C=30C = 30 into the formula:

F=95(30)+32F = \frac{9}{5}(30) + 32

Step-by-step:

  1. Multiply 95\frac{9}{5} by 3030: 95×30=54\frac{9}{5} \times 30 = 54

  2. Add 3232 to 5454: 54+32=8654 + 32 = 86

Final Answer:

The Fahrenheit equivalent of 30C30^\circ \text{C} is 86°F.

Let me know if you have any questions or want more clarification! Here are some related questions to explore:

  1. How do you convert Fahrenheit back to Celsius?
  2. What is the Fahrenheit equivalent of 0C0^\circ \text{C}?
  3. At what temperature are Celsius and Fahrenheit equal?
  4. Can the formula be rearranged to isolate CC?
  5. What is the physical significance of the constant 3232 in the formula?

Tip: Always check your units while performing temperature conversions to ensure accuracy!

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Math Problem Analysis

Mathematical Concepts

Algebra
Temperature Conversion
Linear Equations

Formulas

F = (9/5)C + 32

Theorems

Linear equation interpretation

Suitable Grade Level

Grades 6-8