Find an equation that can be used to predict the size of the population at any time t. What is a reasonable domain and range for this function? (d) Examine the rate at which the bacteria culture is growing. How fast is it growing after 1 hour? After 1.5 hours? After 2 hours? How are you making these estimates? Do they make sense when you look at the graph? (3) The third bacteria culture started with 5000 bacteria. The assistant found that after 3 hours the estimated population was 80,000. (a) How long did it take the population to double for the rst time? How long will it take for the population to double the second time? The third time? (b) Estimate the population after 3.5 hours. Explain how you made this estimate. Lab Report Your lab report should include your analysis of each of the three scenarios described above. You should include the necessary tables, graphs, and equations that you found and an explanation of how you found them. Include a discussion of the rate