To determine the initial value from the equation \( T(x) = 2x + 10 \), we need to evaluate the equation when \( x = 0 \), which represents the time at noon (0 hours after noon).
Substituting \( x = 0 \) into the equation:
\[ T(0) = 2(0) + 10 = 10 \]
Thus, the initial temperature at noon is \( 10°C \).
Therefore, the correct response is:
10°C