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]32^{\circ} F[/tex] to its equivalent temperature on the Celsius scale.

[tex]32^{\circ} F = \square^{\circ} C[/tex]

Answer :

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

1. Understand the formula: The formula [tex]\(C = \frac{5}{9}(F - 32)\)[/tex] is used to convert a temperature from Fahrenheit to Celsius. Here, [tex]\(C\)[/tex] represents the temperature in Celsius, and [tex]\(F\)[/tex] represents the temperature in Fahrenheit.

2. Substitute the Fahrenheit temperature: Plug the given Fahrenheit temperature, [tex]\(32^\circ F\)[/tex], into the formula. This means you replace [tex]\(F\)[/tex] with 32 in the equation.

3. Perform the calculation:

[tex]\[
C = \frac{5}{9}(32 - 32)
\][/tex]

Subtract 32 from 32, which gives you 0.

[tex]\[
C = \frac{5}{9} \times 0
\][/tex]

4. Multiply by the fraction: Any number multiplied by 0 is 0.

[tex]\[
C = 0
\][/tex]

So, the equivalent temperature of [tex]\(32^\circ F\)[/tex] on the Celsius scale is [tex]\(0^\circ C\)[/tex].