College

An outside thermometer reads [tex]$57^{\circ} F$[/tex]. What is this temperature in Celsius?



A. 14

B. 49

C. 71

D. 135

Answer :

To convert a temperature from Fahrenheit to Celsius, we use the formula

$$
C = \frac{5}{9}(F - 32)
$$

where $F$ is the temperature in Fahrenheit and $C$ is the temperature in Celsius.

Given a temperature of $57^\circ F$, we substitute into the formula:

$$
C = \frac{5}{9}(57 - 32)
$$

First, calculate the difference in the parentheses:

$$
57 - 32 = 25
$$

Then multiply by $\frac{5}{9}$:

$$
C = \frac{5}{9} \times 25 \approx 13.8889
$$

Since the conversion yields approximately $13.8889^\circ C$, rounding to the nearest whole number gives:

$$
C \approx 14^\circ C
$$

Thus, the temperature in Celsius is $\boxed{14}$.