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 to Celsius, we use the formula

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

where [tex]$F$[/tex] is the temperature in Fahrenheit and [tex]$C$[/tex] is the temperature in Celsius.

Step 1: Subtract the offset

Subtract 32 from the Fahrenheit temperature:

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

Step 2: Multiply by [tex]$\frac{5}{9}$[/tex]

Multiply the result by [tex]$\frac{5}{9}$[/tex] to get the temperature in Celsius:

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

Step 3: Round to the nearest whole number

Rounding [tex]$13.8889$[/tex] to the nearest whole number gives:

[tex]$$
14.
$$[/tex]

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