Question

The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour).

A graph titled Baseball Speed has speed of swing (in miles per hour) on the x-axis, and distance (in feet) on the y-axis. A line goes through points (0, 0), (40, 200), (60, 300).

Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?
The distance is 0.1 times the swing speed.
The distance is 0.2 times the swing speed.
The distance is 5 times the swing speed.
The distance is 10 times the swing speed.

Answer 1

The distance is 5 times the swing speed.

Reason: k = distance/speed = 200/40 = 5 (and 300/60 = 5), so distance = 5 × speed.