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]76.0^{\circ}[/tex] Fahrenheit
C. [tex]150.4^{\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 convert a temperature from Celsius ([tex]$^\circ$[/tex]C) to Fahrenheit ([tex]$^\circ$[/tex]F), you can use the formula:

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

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

Let's apply this formula to find what the temperature will be in degrees Fahrenheit when it is [tex]\( 80^\circ \)[/tex] Celsius.

1. Multiply the Celsius temperature by [tex]\(\frac{9}{5}\)[/tex]:

[tex]\[ \frac{9}{5} \times 80 = \frac{720}{5} = 144 \][/tex]

2. Add 32 to the result:

[tex]\[ 144 + 32 = 176 \][/tex]

Therefore, the temperature is [tex]\( 176^\circ \)[/tex] Fahrenheit.

So, the correct answer is:

A) [tex]\( 176^\circ \)[/tex] Fahrenheit