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

, 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 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 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.
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1 answer

The correct interpretation of the initial value in the function \( f(x) = -350x + 1400 \) is:

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

This is because when \( x = 0 \) (the initial day of travel), the function calculates the distance still remaining to the final destination, which is \( f(0) = 1400 \).