High School

The average high temperature in Boise, ID is [tex]63^{\circ} F[/tex] in April. Boise is at the same latitude as Marseille, France, and has similar weather. France uses the Celsius scale.

What is [tex]63^{\circ} F[/tex] in degrees Celsius?

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

Answer :

Sure! Let's convert the temperature from Fahrenheit to Celsius using the given formula:

[tex]\[ ^{\circ} C = \frac{5}{9} \left( ^{\circ} F - 32 \right) \][/tex]

Here are the steps:

1. Identify the given temperature in Fahrenheit:
[tex]\[ 63^{\circ} F \][/tex]

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 63 - 32 = 31 \][/tex]

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 31 \approx 17.2222 \][/tex]

4. Combine the steps into the formula for a final calculation:
[tex]\[ ^{\circ} C = \frac{5}{9} \times (63 - 32) = \frac{5}{9} \times 31 \approx 17.22 \][/tex]

Therefore, the temperature [tex]\( 63^{\circ} F \)[/tex] converts to approximately [tex]\( 17.22^{\circ} C \)[/tex].