High School

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]$281.7^{\circ} C$[/tex]
C. [tex]$246.1^{\circ} C$[/tex]
D. [tex]$231.9^{\circ} C$[/tex]

Answer :

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

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

Where [tex]\( C \)[/tex] is the temperature in degrees Celsius and [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

1. First, start with the given Fahrenheit temperature, which is [tex]\( 475^\circ F \)[/tex].

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

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ 443 \times \frac{5}{9} = 246.1 \][/tex]

Therefore, the temperature in Celsius, rounded to the nearest tenth, is approximately [tex]\( 246.1^\circ C \)[/tex].

So, Kurt should set the oven to [tex]\( 246.1^\circ C \)[/tex], which matches option c: [tex]\( 246.1^\circ C \)[/tex].