High School

An outside thermometer reads [tex]57^{\circ} F[/tex]. What is this temperature in [tex]^{\circ} C[/tex]? Round your answer to the nearest whole number.

A. 14
B. 49
C. 71
D. 135

Answer :

To convert a temperature from Fahrenheit ([tex]$^\circ F$[/tex]) to Celsius ([tex]$^\circ C$[/tex]), we use the formula

[tex]$$
T_C = \frac{5}{9}(T_F - 32),
$$[/tex]

where [tex]$T_F$[/tex] is the temperature in Fahrenheit and [tex]$T_C$[/tex] is the temperature in Celsius.

Step 1: Start with the given temperature in Fahrenheit:

[tex]$$
T_F = 57^\circ F.
$$[/tex]

Step 2: Subtract 32 from the Fahrenheit temperature:

[tex]$$
57 - 32 = 25.
$$[/tex]

Step 3: Multiply the result by [tex]$\frac{5}{9}$[/tex] to convert to Celsius:

[tex]$$
T_C = \frac{5}{9} \times 25 = \frac{125}{9} \approx 13.8888888889.
$$[/tex]

Step 4: Round the Celsius temperature to the nearest whole number:

[tex]$$
T_C \approx 14^\circ C.
$$[/tex]

Thus, the temperature of [tex]$57^\circ F$[/tex] is approximately [tex]$14^\circ C$[/tex].