High School

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

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

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

Let's calculate the temperature in Fahrenheit when it is [tex]\( 80^\circ \)[/tex] Celsius.

1. First, substitute [tex]\( C = 80 \)[/tex] into the formula:

[tex]\[ F = \left(\frac{9}{5}\right) \times 80 + 32 \][/tex]

2. Multiply [tex]\( 80 \)[/tex] by [tex]\( \frac{9}{5} \)[/tex]:

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

3. Add [tex]\( 32 \)[/tex] to the result:

[tex]\[ F = 176 \][/tex]

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

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