College

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 a temperature from Fahrenheit to Celsius, we use the formula

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

Here, the Fahrenheit temperature is [tex]$F = 475^\circ F$[/tex]. Follow these steps:

1. First, subtract 32 from the Fahrenheit temperature:

[tex]$$
475 - 32 = 443.
$$[/tex]

2. Next, multiply the result by [tex]$\frac{5}{9}$[/tex] to convert to Celsius:

[tex]$$
C = \frac{5}{9} \times 443 \approx 246.1111111.
$$[/tex]

3. Finally, round the result to the nearest tenth:

[tex]$$
C \approx 246.1^\circ C.
$$[/tex]

Thus, the oven should be set to approximately [tex]$246.1^\circ C$[/tex], which corresponds to option (c).

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