To represent the scenario of the outfielder throwing a baseball at a maximum speed of 105 miles per hour (or 154 feet per second), we can derive a linear equation. However, without specific details about the relationship we are trying to establish (e.g., time, distance, etc.), I will provide a basic equation.
If we assume we are looking at the distance \(d\) thrown as a function of time \(t\) in seconds, we can use the relationship:
\[ d = r \times t \]
where \(r\) is the rate of throwing (in feet per second).
Given that the maximum rate \(r\) is 154 feet per second, we can write the equation as:
\[ d = 154t \]
where:
- \(d\) is the distance in feet,
- \(t\) is the time in seconds.
If there are specific contexts (like a maximum distance or time), please provide those details for a more accurate representation.