There is a large population of field mice in Ore- 80 gon. A family of gray foxes was introduced to 70 this ecosystem and foxes prey on mice. Scien- -60 tists collect data and create a function, M(f), that models the numbers of mice, M, (measured 50 Population of Mice, M (in hundreds) in hundreds) based on the number of foxes, f, -40 (also measured in hundreds). The graph of M(f) is provided. 30 20 10 -0.5 0 0!5 2 25 3 3.5 4.5 |Population of Foxes, f (in hundreds) (a) (3 points) Interpret the point (1, 15) on the above graph of M(f) in the context of the situa- tion. Include units and use complete sentence(s). (b) (3 points) The scientists find that M'(1) = -12. Interpret this in the context. Include units and use complete sentence(s). (c) (2 points) If the tangent line at the point (1, 15) was used to approximate the values of M (1.2) and M(5), which of these approximations do you expect to be closer to the real function value? O The linear approximation to M(1.2) would better. The linear approximation to M(5) would better. Initials