Consider a discrete-time linear model of a population of mys- tery snails, with two life stages: hatchlings (H) and adults (A). As usual, the model has the form

(Ht+1,At+1)=M(Ht,At)

where t is measured in months, and M is a matrix with the following

Eigenvectors:

v1=[40,1] with eigenvalue =1.1

v2=[-15,10] with eigenvalue =-0.6

Suppose Ivy's aquarium initially contains 10 adult mystery snails (and 0 hatchlings). Draw how this population will change over many time steps, in the state space, according to the model above. You can use the axes provided on the next page. (Note that your "trajectory" should show both the transient and the long-term behavior. You may want to include other features on the graph that help you to figure this out.)