High School

Temperature can be measured using either the Fahrenheit scale or the Celsius scale. The relationship between Fahrenheit and Celsius can be modeled by the equation:

\[ F = \frac{9}{5}C + 32 \]

where [tex] F [/tex] is degrees Fahrenheit and [tex] C [/tex] is degrees Celsius.

If the temperature is [tex] 84^{\circ} [/tex] Fahrenheit, what is the approximate temperature in degrees Celsius?

A. [tex] 29^{\circ} [/tex]

B. [tex] 50^{\circ} [/tex]

C. [tex] 94^{\circ} [/tex]

D. [tex] 183^{\circ} [/tex]

Answer :

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

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

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

Let's apply this formula step-by-step to convert [tex]\( 84^\circ \)[/tex] Fahrenheit to Celsius:

1. Subtract 32 from the Fahrenheit temperature:

[tex]\[
84 - 32 = 52
\][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[
52 \times \frac{5}{9} \approx 28.89
\][/tex]

Therefore, the approximate temperature in degrees Celsius is [tex]\( 28.89^\circ \)[/tex].

Since we are looking for the closest whole number from the options given, the closest is:

A. [tex]\( 29^\circ \)[/tex]

So, the approximate temperature in degrees Celsius is [tex]\( 29^\circ \)[/tex].

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