Math 141 Week 5 Activity. You must show your work to receive credit. You are welcome to discuss your work with other students. but vour final work must be your own, not copied from anyone. Please |box our final answers so they are easy to find. 10 points total Suppose the pianet of Tattooine currently has a population of 6500 people and an annual growth rate of 0.35%. Use this information for all the problems below. 1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3 points) 2. Assuming the growth rate stays the same, how many people will there be on Tattooine in 50 years? Round your answer to the nearest whole person. (3 points) 3. We'd like to know the first time when the population reaches 7000 people. First, graph the function from part (a) on your calculator or Desmos. In the same window, graph the line y = 7000. Notice that you will need to adjust your window so that you can see values as big as 7000! Investigate the intersection of the two graphs. (This video shows you how to find the intersection on your calculator, or in Desmos just hover the cursor over the point.) At what value t > 0 does the line intersect with your exponential function? Round your answer to two decimal places. (You don't need to show work for this part.) (2 points) 4. Interpret your answer from part (c) in a sentence. Remember, don't use any of our mathy words! You're only describing your result. (2 points)