1.A certain apartment building, which you don't want to live in, opened in 1995. In 1996, the number of mice infesting that building was 28.In 2004, there were 250 mice.Let M represent the number of mice in years since 1995.

a.Write M as a linear function of t. Interpret what the parameters tell us about the growth in the number of mice over time. (2 pts)

b.Write M as an exponential function of t.Interpret what the parameters tell us about the growth in the number of mice over time. (2 pts)

c.What is the predicted number of mice in the building in 2013 based on the linear model?What about with the exponential model? (1 pt)

d.If, in 2013, the actual number of mice observed turns out to be 3458 calculate residual values to determine which model seems to be a more reliable predictor of the data. Explain how you know which model is more reliable. (1 pt)