A local farmer had a mouse problem in his barn. He estimated there were about 800 mice to start with. He adopted some cats and noticed that the number of mice was decreasing by 8%/wk. The graph models the number of mice x weeks after the farmer adopted the cats.

Identify and interpret the key features of the exponential function modeled in terms of this situation.



Select each correct answer.

Question 3 options:

The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.


The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.


The line x = 0 is an asymptote of the graph.


The point (0,30) contains the x-intercept.


The line y = 0 is an asymptote of the graph.


The y-intercept is 800.


The asymptote indicates that there were never more than 800 mice in existence.