The function f(x)=−75x+1,200

Question

represents the value of your cell phone x
months after you purchase it. Identify and interpret the initial value of the function.(1 point)
Responses

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 is:

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

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