Please answer the following 3 questions based on the data.

Introduction: The situation in which population growth/decline requires an updated approach to planning due to the unexpected changes in population. This problem will require a strategy that has both linear and geometric aspects toward population change to ensure a solid foundation. The factors contributing to population growth/decline are birth rates, migration patterns, and technological innovations. Prioritization of Factors: Technological innovations have the greatest impact on population growth/decline due to them affecting migration patterns as well as new job opportunities which entices workers to move into the city. Proposed Mathematical Model: Pn = a0 * r*n Pn = population after n years. a0 = initial population. r = common ratio. Algorithm for Future Population Estimation: W o~ o R W N = = def calculate population(initial population, growth rate, years): return initial population * (growth rate ** years) # Example usage: initial population = 100000 growth _rate = 1.83 # 3% growth rate years_to predict = 10 Python predicted population = calculate population(initial population, growth_rate, years print(f"Population after {years to predict} years: {predicted population}") Write out the outputs in a trace table. Select two future population estimates (two output values of a,,) and discuss whether the output produced is appropriate for the scenario. What limitations, or problems, may there be in using this model to estimate the population indefinitely? Based on your assessment of the output and potential limitations of the model, suggest a change to the general formula or algorithm for their sequence to represent a potentially better long-term model for the scenario. (You may consider the factors that were described in the initial planning phase or other biological limitations on growth/decline of populations.)