College

What will the temperature be in degrees Fahrenheit when it is [tex]80^{\circ}[/tex] Celsius outside?

(Recall the formula [tex]F = \frac{9}{5} C + 32[/tex].)

A. [tex]176^{\circ}[/tex] Fahrenheit
B. [tex]150.4^{\circ}[/tex] Fahrenheit
C. [tex]76.0^{\circ}[/tex] Fahrenheit
D. [tex]201.6^{\circ}[/tex] Fahrenheit

Please select the best answer from the choices provided:
A
B
C
D

Answer :

To find the temperature in degrees Fahrenheit when it is [tex]\( 80^\circ \)[/tex] Celsius outside, you can use the formula for converting Celsius to Fahrenheit, which is:

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

Let's apply this formula step by step:

1. Start with the Celsius temperature: [tex]\( C = 80 \)[/tex].

2. Multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[
\frac{9}{5} \times 80 = \frac{720}{5} = 144
\][/tex]

3. Add 32 to the result from step 2 to convert to Fahrenheit:
[tex]\[
144 + 32 = 176
\][/tex]

Therefore, when it is [tex]\( 80^\circ \)[/tex] Celsius outside, the temperature is [tex]\( 176^\circ \)[/tex] Fahrenheit.

The correct answer is: a. [tex]\( 176^\circ \)[/tex] Fahrenheit.