The correct interpretation of the initial value of 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 is because the initial value corresponds to \( f(0) \), which gives the value of the phone when \( x = 0 \) (i.e., at the time of purchase). In this case, \( f(0) = 1,200 \).