EXPONENTIAL FUNCTION: Exponential models are designed in order to make predictions and decisions about phenomena involving rapid growth or decay. Some real-life applications include population growth, compound interest, depreciation rates, and radioactive decay. The universal equation for exponential growth and decay is given by: A(t) = Apekt , where: A(t) is the amount after t years (or some other unit of time) Ao is the initial amount (or mount of t = 0) e is the irrational number approximated by 2.72 k is the growth (+) or decay (-) constant t is the number of years Use this model to answer the following. 1. The population in Philippines in 1992 was 64,543,525 with an average annual growth rate of 1.98%. a. Write an exponential model for the population growth in the country. (2 points) b. Based on this model, what will the population be in year 2025? (3 points) 2. The population in barangay Dulian, Zamboanga City has an average annual growth rate of 2.49% for five years. Based from the 2020 census, the population of the barangay was 1,489. What was the barangay's population 5 years ago? (3 points)