You are taking a road trip across several states. Your distance from your final destination is modeled with the equation f(x)=−350x+1,400

Question

, where x
represents the number of days you have been traveling. Identify and interpret the initial value.(1 point)
Responses

The initial value of 350 represents the distance from your starting point to your final destination.
The initial value of 350 represents the distance from your starting point to your final destination.

The initial value of 1,400 represents the distance you travel each day.
The initial value of 1,400 represents the distance you travel each day.

The initial value of 350 represents the distance you travel each day.
The initial value of 350 represents the distance you travel each day.

The initial value of 1,400 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance from your starting point to your final destination.

Answer 1

The correct interpretation of the initial value in the function \( f(x) = -350x + 1,400 \) is:

The initial value of 1,400 represents the distance from your starting point to your final destination.

In this context, when \( x = 0 \) (representing the start of your trip), the function gives \( f(0) = 1,400 \). This means that at the start of your journey, your distance from the destination is 1,400 units (miles, kilometers, etc.).

The value of \( -350 \) indicates that you are reducing this distance by 350 units for each day you travel.