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

The correct answer is Option 2

Key Points

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

  °F=(95×°C)+32

  °F=(95×°C)+32°F=(95×°C)+32

  °F=(95×°C)+32
  °F=(95×°C)+32
  °C=(59×(°F−32))

  °C=(59×(°F−32))°C=(59×(°F−32))

  °C=(59×(°F−32))
  °C=(59×(°F−32))

• 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=(95×25)+32=45+32=77°F$$°F = \left( \frac{9}{5} \times 25 \right) + 32 = 45 + 32 = 77°F$$

    $$°F = \left( \frac{9}{5} \times 25 \right) + 32 = 45 + 32 = 77°F$$
    $$°F = \left( \frac{9}{5} \times 25 \right) + 32 = 45 + 32 = 77°F$$

• 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×(77−32))=(59×45)=25°C

    °C=(59×(77−32))=(59×45)=25°C$$°C = \left( \frac{5}{9} \times (77 - 32) \right) = \left( \frac{5}{9} \times 45 \right) = 25°C$$

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