Which of the following is a correct relationship between Fahrenheit (°F) and Celsius (°C) degrees?

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  1. °C = °F - 273-15
  2. \( { }^{\circ} \mathrm{F}=\frac{9}{5}{ }^{\circ} \mathrm{C}+32 \)
  3. \( { }^{\circ} \mathrm{C}=\frac{9}{5}{ }^{\circ} \mathrm{F}+32 \)
  4. °F = °C - 273.15

Answer (Detailed Solution Below)

Option 2 : \( { }^{\circ} \mathrm{F}=\frac{9}{5}{ }^{\circ} \mathrm{C}+32 \)
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Detailed Solution

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The correct answer is Option 2

Key Points

  • The standard formula to convert between Fahrenheit and Celsius is:

    °F=(95×°C)+32
    °C=(59×(°F32))
  • Explanation:
  • To convert from Celsius to Fahrenheit:
    Multiply the Celsius temperature by 9/5 and then add 32.

    • Example: Convert 25°C to Fahrenheit
      °F=(95×25)+32=45+32=77°F °F = \left( \frac{9}{5} \times 25 \right) + 32 = 45 + 32 = 77°F
  • To convert from Fahrenheit to Celsius:
    Subtract 32 from the Fahrenheit temperature and then multiply by 5/9.

    • Example: Convert 77°F to Celsius
      °C=(59×(7732))=(59×45)=25°C °C = \left( \frac{5}{9} \times (77 - 32) \right) = \left( \frac{5}{9} \times 45 \right) = 25°C
  • Thus, the correct formula is:
    •  °F = (9/5 × °C) + 32
    •  °C = (5/9) × (°F - 32)
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