Answer :
To solve this problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used for. This function is designed to convert a temperature from degrees Fahrenheit to degrees Celsius.
Here's a step-by-step explanation:
1. Identify the given temperature: We know that Kareem found the high temperature to be 76.1 degrees Fahrenheit.
2. Apply the conversion function: We need to calculate [tex]\( C(76.1) \)[/tex], which is the function that will convert 76.1 degrees Fahrenheit into degrees Celsius. The function is given by:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
3. Perform the calculation:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Interpret what [tex]\( C(76.1) \)[/tex] represents: Once you calculate it, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Given the options:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
- The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
- The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
- The amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
The correct interpretation is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, [tex]\( C(76.1) \)[/tex] indeed represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Here's a step-by-step explanation:
1. Identify the given temperature: We know that Kareem found the high temperature to be 76.1 degrees Fahrenheit.
2. Apply the conversion function: We need to calculate [tex]\( C(76.1) \)[/tex], which is the function that will convert 76.1 degrees Fahrenheit into degrees Celsius. The function is given by:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
3. Perform the calculation:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Interpret what [tex]\( C(76.1) \)[/tex] represents: Once you calculate it, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Given the options:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
- The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
- The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
- The amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
The correct interpretation is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, [tex]\( C(76.1) \)[/tex] indeed represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.