High School

Evaluate [tex]$F=\frac{9}{5} C+32$[/tex] for [tex]$C=35$[/tex] degrees.

A. 95
B. 63
C. 67
D. 82

Answer :

Sure, let's evaluate the given formula step-by-step.

We are given the formula:

[tex]\[ F = \frac{9}{5} C + 32 \][/tex]

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

We need to evaluate this for [tex]\( C = 35 \)[/tex].

Step-by-step solution:

1. Identify the given value of [tex]\( C \)[/tex]:
[tex]\( C = 35 \)[/tex]

2. Substitute [tex]\( C \)[/tex] into the formula:
[tex]\[ F = \frac{9}{5} \times 35 + 32 \][/tex]

3. Perform the multiplication:
[tex]\[ \frac{9}{5} \times 35 = 9 \times 7 = 63 \][/tex]
(Since dividing 35 by 5 gives 7, and then multiplying by 9)

4. Add 32 to the result:
[tex]\[ F = 63 + 32 = 95 \][/tex]

Thus, when [tex]\( C = 35 \)[/tex] degrees Celsius, the temperature in degrees Fahrenheit [tex]\( F \)[/tex] is:

[tex]\[ F = 95 \][/tex]

So, the correct answer to the question is:

[tex]\[ 95 \][/tex]