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{9C}{5} + 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 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:

[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 go through the steps:

1. Identify the Celsius temperature: [tex]\( C = 80^{\circ} \)[/tex].

2. Plug the Celsius temperature into the conversion formula:

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

3. Multiply: First, calculate [tex]\( \frac{9}{5} \times 80 \)[/tex]:

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

4. Add 32: Next, add 32 to the result:

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

Therefore, the temperature in degrees Fahrenheit is [tex]\( 176^{\circ} \)[/tex]. The correct choice is:

a. [tex]\( 176^{\circ} \)[/tex] Fahrenheit