College

The formula for converting temperatures from Fahrenheit [tex](F)[/tex] to Celsius [tex](C)[/tex] is

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

What is the temperature in Fahrenheit if the temperature is [tex]25^{\circ}[/tex] Celsius?

A. [tex]13^{\circ} F[/tex]
B. [tex]70^{\circ} F[/tex]
C. [tex]45^{\circ} F[/tex]
D. [tex]77^{\circ} F[/tex]

Answer :

To convert a temperature from Celsius to Fahrenheit, you can use the formula:

[tex]\[ F = \left(\frac{9}{5} \cdot C\right) + 32 \][/tex]

where [tex]\( C \)[/tex] is the temperature in Celsius and [tex]\( F \)[/tex] is the temperature in Fahrenheit.

Given that the temperature is [tex]\( 25^{\circ} \)[/tex] Celsius, let's use this formula to find the temperature in Fahrenheit:

1. Start with the Celsius temperature:
[tex]\[ C = 25 \][/tex]

2. Multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ \left(\frac{9}{5} \cdot 25\right) = 45 \][/tex]

3. Add 32 to this result:
[tex]\[ 45 + 32 = 77 \][/tex]

So, the temperature in Fahrenheit is [tex]\( 77^{\circ} F \)[/tex].

Therefore, the correct answer is:
[tex]\[ \boxed{77^{\circ} F} \][/tex]