1. Write a formula in the form f(t) = ab' for the exponential function described: The population of people in a small town of 8000 triples in 30 years. The value for b must be given in a yearly rate. Round your answer to three decimal places. f(t) = 2. A pair of points on the graph of an exponential function are given. Find a formula for the function in the form f(t) = ab'. Round your answer for b to four decimal places. f(t): (0, 60) (5, 10) f(t) = 3. A lab receives a sample of germanium. The sample decays radioactively over time at a constant daily percent rate. After 15 days, 200 grams of germanium remain. After 37 days, 51.253 grams remain. What is the daily percent decay rate of germanium? How much did the lab receive initially? Round your answers to three decimal places. Initial Am't daily percent decay