Given :
Temperature in degree Fahrenheit = 50°F
To find :
Temperature in degree Celsius
Formula :
°F = \(\frac{9}{5}\)(°C) + 32
Calculation :
Substituting 50°F in the formula,
°F = \(\frac{9}{5}\)(°C) + 32
50 = \(\frac{9}{5}\)(°C) + 32
°C = \(\frac{(50-32)\times 5}{9}\)
= 10°C
ii. Given :
Temperature in degree Fahrenheit = 10°F
To find :
Temperature in degree Celsius
Formula :
°F = \(\frac{9}{5}\)(°C) + 32
Calculation :
Substituting 10°F in the formula,
°F = \(\frac{9}{5}\)(°C) + 32
10 = \(\frac{9}{5}\)(°C) + 32
°C = \(\frac{(10-32)\times 5}{9}\)
= -12.2°C
∴ i. The temperature 50°F corresponds to 10°C.
ii. The temperature 10°F corresponds to -12.2°C.