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.

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.