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

f
(
x
)
=
−
350
x
+
1
,
400
, where x
x
represents the number of days you have been traveling. Identify and interpret the initial value.(1 point)
Responses

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.

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

Answer 1

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

In the equation \( f(x) = -350x + 1,400 \), when \( x = 0 \) (representing the start of your trip), the value of \( f(x) \) is 1,400. This means that initially, you are 1,400 units (e.g., miles) away from your final destination.