In the united states, there were approximately 1,664 ride-related injuries in fixed-site amusement parks in 2007, compared to 1,797 in 2006. use an exponential function to determine the ride related injuries in 2016, and discuss the reasonableness of the result. 771; exponential models are useful short-term, but not long-term: not reasonable. 833: reasonable 833; exponential models are useful short-term, but not long-term: not reasonable. 3,880; exponential models are useful short-term, but not long-term: not reasonable.