Question

temperature t(h) is degrees fahrenheit h hours after noon. \4 hours after noon it was 72°f\ is written as: t(h) = 72 when h = 4; t(4) = h = 72; t(4) = 72; t(72) = 4

Explanation:

Step1: Understand the function notation

The function \( T(h) \) represents the temperature in degrees Fahrenheit \( h \) hours after noon. So when \( h = 4 \) (4 hours after noon), we substitute \( h = 4 \) into the function \( T(h) \).

Step2: Evaluate the function at \( h = 4 \)

We know that at \( h = 4 \), the temperature is \( 72^\circ \text{F} \). In function notation, this means \( T(4)=72 \), because we are finding the value of the function \( T \) when the input \( h \) is 4, and that value is 72.

Answer:

\( T(4) = 72 \) (corresponding to the third option: \( \boldsymbol{T(4) = 72} \))