The correct interpretation of the initial value of the function \( f(x) = -75x + 1200 \) is:
The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
In the context of this function, when \( x = 0 \) (which corresponds to the time of purchase), the value of the cell phone is given by \( f(0) = 1200 \). Thus, the initial value indicates the price of the cell phone at the moment you buy it.