College

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 to Celsius, we use the formula

[tex]$$
C = \frac{5}{9}(F - 32).
$$[/tex]

1. Start with the Fahrenheit temperature: [tex]$57^\circ F$[/tex].

2. Subtract 32 from the Fahrenheit temperature:

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

3. Multiply the result by [tex]$\frac{5}{9}$[/tex]:

[tex]$$
C = \frac{5}{9} \times 25 \approx 13.8889.
$$[/tex]

4. When rounded to the nearest whole number, the Celsius temperature is [tex]$14^\circ C$[/tex].

Thus, [tex]$57^\circ F$[/tex] is equivalent to approximately [tex]$14^\circ C$[/tex].