Answer :
Sure! Let's figure out the right setting for Kurt's oven in Celsius. He needs to convert from Fahrenheit to Celsius because his recipe uses degrees Fahrenheit, but his oven is marked in degrees Celsius.
To convert Fahrenheit to Celsius, we use the following formula:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
In Kurt's case, he needs to preheat his oven to [tex]\(475^{\circ} F\)[/tex]. Let's convert that to Celsius:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 475 - 32 = 443 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to convert to Celsius:
[tex]\[ 443 \times \frac{5}{9} \approx 246.1111 \][/tex]
3. Round this result to the nearest tenth:
[tex]\[ 246.1 \][/tex]
Therefore, Kurt should set his oven to approximately [tex]\(246.1^{\circ} C\)[/tex].
This corresponds to option c. [tex]\(246.1^{\circ} C\)[/tex].
To convert Fahrenheit to Celsius, we use the following formula:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
In Kurt's case, he needs to preheat his oven to [tex]\(475^{\circ} F\)[/tex]. Let's convert that to Celsius:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 475 - 32 = 443 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to convert to Celsius:
[tex]\[ 443 \times \frac{5}{9} \approx 246.1111 \][/tex]
3. Round this result to the nearest tenth:
[tex]\[ 246.1 \][/tex]
Therefore, Kurt should set his oven to approximately [tex]\(246.1^{\circ} C\)[/tex].
This corresponds to option c. [tex]\(246.1^{\circ} C\)[/tex].
