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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, we use the conversion formula:

$$
C = \frac{5}{9} (F - 32)
$$

Given that the temperature in Fahrenheit is $F = 475$, follow these steps:

1. Subtract 32 from the Fahrenheit temperature:
$$
475 - 32 = 443
$$

2. Multiply the result by $\frac{5}{9}$:
$$
C = \frac{5}{9} \times 443 \approx 246.1111\ldots
$$

3. Rounding to the nearest tenth gives:
$$
246.1^\circ C
$$

Thus, the oven should be set to $\boxed{246.1^\circ C}$, which corresponds to option (c).

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