Question

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.

Answer 1

The decrease in injuries from 2006 and 2007 is a reduction factor of about 7.4%. If we use this factor to predict the number of injuries in 2016, we get 0.926¹⁰=0.463 approx as a reduction factor to be applied to the 2006 data. So 0.463×1797=833 approx. Is this reasonable? I don’t think so because the prediction is based on too few figures. 10 years is fairly long term compared to the short term of a year between 2006 and 2007. To be reasonable data is needed for other years. So answer 3 seems the best answer.

Answer 2

Hello,

 exponential models are useful short-term, but not long-term: not reasonable


Hope this helps