To convert the temperature from Fahrenheit to Celsius, you can use the following conversion formula:
[tex]\[
^{\circ}C = \frac{5}{9} \times (^{\circ}F - 32)
\][/tex]
Given that the average high temperature in Boise, ID is [tex]\( 63^{\circ}F \)[/tex], we can substitute [tex]\( 63 \)[/tex] for [tex]\( ^{\circ}F \)[/tex] in the formula.
Step-by-step solution:
1. Start with the given temperature in Fahrenheit:
[tex]\[
^{\circ}F = 63
\][/tex]
2. Substitute [tex]\( 63 \)[/tex] for [tex]\( ^{\circ}F \)[/tex] in the conversion formula:
[tex]\[
^{\circ}C = \frac{5}{9} \times (63 - 32)
\][/tex]
3. Calculate the value inside the parentheses:
[tex]\[
63 - 32 = 31
\][/tex]
4. Substitute [tex]\( 31 \)[/tex] back into the formula:
[tex]\[
^{\circ}C = \frac{5}{9} \times 31
\][/tex]
5. Perform the multiplication:
[tex]\[
^{\circ}C = \frac{5 \times 31}{9} = \frac{155}{9} \approx 17.2222
\][/tex]
So, [tex]\( 63^{\circ}F \)[/tex] is approximately [tex]\( 17.2222^{\circ}C \)[/tex].
Therefore, the average high temperature in Boise, ID, when converted to Celsius, is [tex]\( 17.2222^{\circ}C \)[/tex].
