College

The formula [tex]C=\frac{5}{9}(F-32)[/tex] expresses the relationship between Fahrenheit temperature, [tex]F[/tex], and Celsius temperature, [tex]C[/tex].

Use the formula to convert [tex]68^{\circ} F[/tex] to its equivalent temperature on the Celsius scale.

Answer :

To convert [tex]\(68^{\circ} F\)[/tex] to Celsius using the formula [tex]\(C = \frac{5}{9}(F - 32)\)[/tex], follow these steps:

1. Identify the given Fahrenheit temperature:
We are given [tex]\(F = 68^{\circ} F\)[/tex].

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
F - 32 = 68 - 32 = 36
\][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 36
\][/tex]

4. Calculate the multiplication:
[tex]\[
C = \frac{5 \times 36}{9} = \frac{180}{9} = 20
\][/tex]

So, the equivalent temperature in Celsius is [tex]\(20^{\circ} C\)[/tex].