High School

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

Recall the formula: [tex]F = \left(\frac{9}{5} C\right) + 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, we 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 Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.

Step-by-step solution:

1. Start with the Celsius temperature:
[tex]\[
C = 80^{\circ}
\][/tex]

2. Apply the conversion formula to find Fahrenheit:
[tex]\[
F = \left(\frac{9}{5} \times 80\right) + 32
\][/tex]

3. First, multiply 80 by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[
\frac{9}{5} \times 80 = 144
\][/tex]

4. Then, add 32 to the result:
[tex]\[
144 + 32 = 176
\][/tex]

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

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

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