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On his first day of school, Kareem found the high temperature in degrees [tex]^{\circ}[/tex] Fahrenheit to be [tex]76.1^{\circ}[/tex]. He plans to use the function [tex]C(F)=\frac{5}{9}(F-32)[/tex] to convert this temperature from degrees Fahrenheit to degrees Celsius.

What does [tex]C(76.1)[/tex] represent?

A. the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
B. the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
C. the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
D. the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit

Answer :

Sure! Let's walk through the solution step-by-step.

Kareem wants to convert a temperature of [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit to degrees Celsius using the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex].

Step 1: Identify the temperature in degrees Fahrenheit to convert.
[tex]\[ F = 76.1 \][/tex]

Step 2: Substitute [tex]\( F \)[/tex] into the given formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex].

[tex]\[ C(76.1) = \frac{5}{9}(76.1 - 32) \][/tex]

Step 3: Calculate the difference inside the parentheses.
[tex]\[ 76.1 - 32 = 44.1 \][/tex]

Step 4: Multiply the result by [tex]\( \frac{5}{9} \)[/tex].
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]

Step 5: Perform the multiplication.
[tex]\[ C(76.1) = 24.5 \][/tex]

So, [tex]\( C(76.1) \)[/tex] represents the temperature of [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit converted to degrees Celsius, which is approximately [tex]\( 24.5^{\circ} \)[/tex] Celsius.

The correct choice is:
- the temperature of [tex]\( 76.1 \)[/tex] degrees Fahrenheit converted to degrees Celsius

Thanks for taking the time to read On his first day of school Kareem found the high temperature in degrees tex circ tex Fahrenheit to be tex 76 1 circ tex He. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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