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

Here, the Fahrenheit temperature is [tex]$F = 57^\circ F$[/tex]. Substituting into the formula, we have

[tex]$$
C = \frac{(57 - 32) \cdot 5}{9} = \frac{25 \cdot 5}{9} = \frac{125}{9}.
$$[/tex]

Computing the fraction gives

[tex]$$
\frac{125}{9} \approx 13.8889.
$$[/tex]

Rounding [tex]$13.8889$[/tex] to the nearest whole number, we obtain

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

Thus, the temperature in Celsius is [tex]$\boxed{14}$[/tex].

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