Kurt is staying in Portugal and is trying to make a roast. His cookbook tells him to preheat his oven to [tex]$475^{\circ} F$[/tex], but the oven is only marked in [tex]^{\circ} C[/tex]. Where should Kurt set the oven, to the nearest tenth?

A. [tex]$797.4^{\circ} C$[/tex]
B. [tex]$2817^{\circ} C$[/tex]
C. [tex]$246.1^{\circ} C$[/tex]
D. [tex]$231.9^{\circ} C$[/tex]

To convert the temperature from Fahrenheit to Celsius, you can use the formula:

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

where [tex]$ F $[/tex] is the temperature in Fahrenheit, and [tex]$ C $[/tex] is the temperature in Celsius.

Let's apply this formula to convert 475 degrees Fahrenheit to Celsius:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[
475 - 32 = 443
\][/tex]

2. Multiply the result by 5:
[tex]\[
443 \times 5 = 2215
\][/tex]

3. Divide the result by 9 to get the Celsius temperature:
[tex]\[
\frac{2215}{9} \approx 246.1
\][/tex]

So, the temperature in Celsius, to the nearest tenth, is approximately 246.1°C.

Therefore, Kurt should set the oven to 246.1°C. The correct answer is option C.