The function f(x)=−75x+1,200 represents the value of your cell phone x months after you purchase it. Identify and interpret the initial value of the function.(1 point)

Question

The initial value of 75 represents the value of your cell phone at the time you purchase it. The initial value of 75 represents the value of your cell phone at the time you purchase it. The initial value of 75 represents the monthly cost of your phone. The initial value of 75 represents the monthly cost of your phone. The initial value of 1,200 represents the value of your cell phone at the time you purchase it. The initial value of 1,200 represents the value of your cell phone at the time you purchase it. The initial value of 1,200 represents the monthly cost of your phone

Answer 1

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.