The number of moose in New York state is estimated by the NY State Dept. of Environmental Conservation using this mathematical model: M (t) = 50(1.25)', where I is the number of years since 1997. Note, make sure your answers make sense, this is a real-life problem. Show your work, don't just drop in an answer. Calculator allowed on parts c-f only! a. Is this exponential growth or decay, why? b. How many moose were there in 1997? c. Use this function to estimate the number of moose in in 2020. d. Estimate the number of moose there were in 1996. e. Estimate the number of moose there were in 1950. f. Estimate the number of moose in 2075. g. From the above answers what limitations can think of for using this model? What domain would you suggest is reasonable for this model?