Answer:The formula KE = 1/2mv² is the formula for kinetic energy. KE is kinetic energy, m is mass, and v is velocity. The table shows you how changes in mass and velocity affect kinetic energy. Let's break it down: Scenario 1: If you double the mass while keeping the velocity constant, the kinetic energy will also double. Scenario 2: If you keep the mass constant but triple the velocity, the kinetic energy will be tripled. Scenario 3: If you double both mass and velocity, the kinetic energy will be quadrupled (2 x 2 = 4). Scenario 4: If you reduce the mass to 1/2 while keeping the velocity constant, the kinetic energy will be reduced to 1/2. Scenario 5: If you reduce the velocity to 1/3 while keeping the mass constant, the kinetic energy will be reduced to 1/9 (1/3 x 1/3 = 1/9). Scenario 6: If you triple the mass and double the velocity, the kinetic energy will be six times greater (3 x 2 = 6). Scenario 7: If you reduce the mass to 1/2 and triple the velocity, the kinetic energy will be 1.5 times greater (3 x 1/2 = 1.5). Scenario 8: If you reduce the velocity to 1/2 and triple the mass, the kinetic energy will be 1.5 times greater (3 x 1/2 = 1.5). The table shows that kinetic energy is directly proportional to both mass and the square of velocity. This means that if you increase the mass or velocity, the kinetic energy will increase proportionally. Conversely, if you decrease the mass or velocity, the kinetic energy will decrease proportionally. I hope this helps!