High School

The function below allows you to convert degrees Celsius to degrees Fahrenheit. Use this function to convert 20 degrees Celsius to degrees Fahrenheit.

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

Convert [tex]20^{\circ} C[/tex] to [tex]{}^{\circ} F[/tex].

A. 20
B. 94
C. 36
D. 68

Answer :

To convert 20 degrees Celsius to degrees Fahrenheit, we can use the conversion formula:

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

Where:
- [tex]\( F(c) \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( c \)[/tex] represents the temperature in degrees Celsius.

Let's use this formula to convert 20 degrees Celsius:

1. Substitute 20 for [tex]\( c \)[/tex] in the formula:

[tex]\[ F(20) = \frac{9}{5} \times 20 + 32 \][/tex]

2. First, multiply [tex]\(\frac{9}{5}\)[/tex] by 20:

[tex]\[ \frac{9}{5} \times 20 = 36 \][/tex]

3. Add 32 to the result from the previous step:

[tex]\[ 36 + 32 = 68 \][/tex]

So, 20 degrees Celsius is equal to 68 degrees Fahrenheit.

Therefore, the correct answer is:

D. 68

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