Final answer:
The acceptable range of paintball velocities at the course is expressed by the inequality 245 fps ≤ v ≤ 295 fps, where 'v' represents the velocity of the paintball.
Step-by-step explanation:
The acceptable range of paintball velocities at the course can be represented by an inequality. Since the recommended velocity is 270 feet per second (fps) and the course allows a variance of 25 fps, we can express the inequality as:
245 fps ≤ v ≤ 295 fps
Where 'v' is the velocity of the paintball. This means that the velocity of the paintball must be greater than or equal to 245 fps and less than or equal to 295 fps to be within the acceptable range.