The population of squid in the tropical zone of the ocean is recorded in the table.


Years after 1980 | 0 | 3 | 4 | 7 | 10 | 15 | 20 | 30 | 33 |
Population in thousand | 5 | 15 | 20 | 60 | 150 | 400 | 1200 | 3000 | 5000

Part A: Determine an exponential model for the data. Show all work.

Part B: Using the model, predict the squid population in the year 2031. Is it appropriate to make this prediction? Show all work and explain your reasoning.