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 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.

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.
Remaining Attempts : 3

Answer 1

In the given equation \( f(x) = -350x + 1400 \), where \( f(x) \) represents the distance from the final destination and \( x \) represents the number of days traveled, the initial value occurs when \( x = 0 \).

Substituting \( x = 0 \) into the equation gives:

\[ f(0) = -350(0) + 1400 = 1400 \]

Thus, the initial value is 1400, which represents the distance from your starting point to your final destination.

Therefore, the correct response is:

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