To interpret the equation \( T(x) = 2x + 10 \), where \( T(x) \) represents the temperature in degrees Celsius and \( x \) is the number of hours after noon, we need to find the initial value, which is the temperature at noon (when \( x = 0 \)).
Substituting \( x = 0 \) into the equation:
\[ T(0) = 2(0) + 10 = 10 \]
Therefore, the initial value is 10°C.