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 amount of time it takes a temperature of 76.1 degrees fahrenheit to be converted to 32 degrees celsius

the temperature of 76.1 degrees celsius converted to degrees fahrenheit

the temperature of 76.1 degrees fahrenheit converted to 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 used to convert a temperature from degrees Fahrenheit (\( F \)) to degrees Celsius (\( C \)). When we substitute \( F = 76.1 \) into the function \( C(F) \), we are evaluating the function at \( F = 76.1 \), which means we are converting the temperature of 76.1 degrees Fahrenheit to degrees Celsius. The other options are incorrect because the function does not involve time (so options with "amount of time" are wrong) and it is not converting from Celsius to Fahrenheit (so the option about converting 76.1 degrees Celsius to Fahrenheit is wrong).

Answer:

the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius