Question

a runners distance is represented by d(m) in miles after m minutes. which is an impossible input? -5 0 10 20

Explanation:

Step1: Understand the input meaning

The input \( m \) represents the number of minutes a runner has been running. Time cannot be negative in this context because you can't have a negative number of minutes (you can't run for -5 minutes, as that would imply running before the start time).

Step2: Analyze each option

• For \( m = 0 \): This is valid, representing the start time (0 minutes into running).
• For \( m = 10 \): This is valid, representing 10 minutes of running.
• For \( m = 20 \): This is valid, representing 20 minutes of running.
• For \( m = - 5 \): Since time (in minutes of running) cannot be negative, -5 is an impossible input for \( m \).

Answer:

\(-5\) (the input of \(-5\) minutes is impossible because time cannot be negative in the context of a runner's minutes spent running)