The population P (in thousands) of a country can be modeled by P = -14.71t + 786.5t + 117,226 where t is time in years, with t = 0 corresponding to 1980. (a) Evaluate P fort = 0, 10, 15, 20, and 25. P(0) thousand people P(10) thousand people P(15) thousand people P(20) thousand people P(25) thousand people Explain these values. The -Select- v ---Select-- v (b) Determine the population growth rate, dP/dt. OP dt (c) Evaluate dP/dt for the same values as in part (a) P (0) thousand people per year P' (10) thousand people per year P (15) thousand people per year P (20) H thousand people per year P (25) thousand people per year Explain your results. The - Select-- ~ is - Select-- v