Question

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

Answer 1

The initial value in the equation \( f(x) = -350x + 1400 \) occurs when \( x = 0 \), which means it represents the starting point of the trip. To find the initial value, we substitute \( x = 0 \) into the equation:

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

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

So the correct interpretation is: **The initial value of 1,400 represents the distance from your starting point to your final destination.**