The correct interpretation of the initial value in the function \( f(x) = -75x + 1,200 \) is:
The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
This means that when \( x = 0 \) (the time of purchase), the value of the cell phone is \( f(0) = 1,200 \). The coefficient of \( x \) (-75) indicates the rate at which the value of the phone depreciates each month, but the initial value (1,200) represents the value when you first acquire the phone.