Question

A population of 200 rabbits can be modeled by the equation y = 200e^0.06x, where y is the final population of rabbits and x is time in years.

Which graph models this population correctly and what is the approximate number of rabbits in the population after 15 years?

1)Graph 1 and there would be approximately 81 rabbits

 
2)Graph 1 and there would be approximately 200 rabbits  
3)Graph 2 and there would be approximately 480 rabbits  
4)Graph 2 and there would be approximately 492 rabbits

Answer 1

Graph 2, Option 4 would be your answer because:
If you substitute 1 into the equation (x), you would get about 212
If you substitute 2, you would get approximately 225
If you substitute 10, you would get approximately 364.
Looking at the graph, your answer would be going up and to the right, the population is getting bigger while the years are increasing as well.
If we substitute 15 into x in the equation, we would get approximately 492.