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 when \( x = 0 \) (the time of purchase), the function yields \( f(0) = -75(0) + 1,200 = 1,200 \). This indicates that the value of the cell phone at the time of purchase is $1,200.