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 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 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 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.

Answer 1

The initial value in the function \( f(x) = -350x + 1,400 \) is the constant term when \( x = 0 \).

To interpret the initial value:

• When \( x = 0 \) (which means you have just started your trip), the distance from your final destination is \( f(0) = -350(0) + 1,400 = 1,400 \).

Therefore, the correct interpretation is:

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