Question

on his first day of school, kareem found the high temperature in degrees fahrenheit to be 76.1°. he plans to use the function $c(f) = \frac{5}{9}(f - 32)$ to convert this temperature from degrees fahrenheit to degrees celsius. what does $c(76.1)$ represent?

• 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

Explanation:

The function \( C(F)=\frac{5}{9}(F - 32) \) is defined to convert a temperature in degrees Fahrenheit (\( F \)) to degrees Celsius (\( C \)). When we substitute \( F = 76.1 \) into the function \( C(F) \), we get \( C(76.1) \), which means we are using the Fahrenheit temperature of 76.1 to find the corresponding Celsius temperature. The other options are incorrect: the function is for Fahrenheit to Celsius (not Celsius to Fahrenheit), and the function has nothing to do with time.

Answer:

the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius