Sample Questions

1. Forest service crew members will share the load of 500 pounds of equipment.
   The weight per crew member can be modeled by where x is the number of crew members. How much will the load share change if the number of crew members increases from 40 to 50?
   
   
2. The kinetic energy of a 14 pound bowling ball can be modeled by K = 3v² where v is the velocity of the ball.
   How much will the kinetic energy of a 14 pound bowling ball change if the velocity changes from 3 m/sec to 6 m/sec?

Sample Response

1. With 40 crew members, the weight would be 500/40 = 12.5 pounds per crew member.
   With 50 crew members, the weight would be 500/50 = 10 pounds per crew member.
   That's a loss of 2.5 pounds per crew member.
   
   
2. The kinetic energy at 3 m/sec would be K = 3·(3)² = 27 joules.
   The kinetic energy at 6 m/sec would be K = 3·(6)² = 108 joules.
   That's 4 times as much energy!