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 can find the initial value by evaluating the function at \( x = 0 \), which represents noon.
When \( x = 0 \): \[ T(0) = 2(0) + 10 = 10°C \]
Thus, the initial value of the temperature at noon is \( 10°C \).
The correct response is: 10°C