Answer :
A temperature of [tex]200^{\circ}F[/tex] is equivalent to approximately [tex]93.3 \, ^\circ \text{C}[/tex] using the conversion formula. Thus, the correct answer is A.[tex]93.3 \, ^\circ \text{C}[/tex]. One degree Celsius is 1.8 times larger than one degree Fahrenheit.
Converting Fahrenheit to Celsius
To convert a temperature from Fahrenheit to Celsius, you can use the following formula:
[tex]^\circ \text{C} = (^{\circ}{F} - 32) \times \frac{5}{9}[/tex]
Let’s apply this formula to convert [tex]200^{\circ}F[/tex]to Celsius:
Subtract 32 from the Fahrenheit temperature:[tex]200 - 32 = 168[/tex]
Multiply the result by[tex]\frac{5}{9}: 168 \times \frac{5}{9} \approx 93.3[/tex]
Therefore, [tex]200^{\circ}F[/tex] is equivalent to approximately [tex]93.3 \, ^\circ \text{C}[/tex] . So the correct answer is A. [tex]93.3 \, ^\circ \text{C}[/tex].
On the Celsius scale, water freezes at [tex]0 \, ^\circ \text{C}[/tex] and boils at [tex]100 \, ^\circ \text{C}[/tex] while on the Fahrenheit scale, water freezes at [tex]32 \, ^\circ \text{F}[/tex] and boils at [tex]212 \, ^\circ \text{F}[/tex]. The unit of temperature on the Fahrenheit scale is finer because one degree Celsius is 1.8 times greater than one degree Fahrenheit.