9, 3, Depth (feet) 6 7 8 11 12 Review 6. A2 Math Algebra I 21-22 Form D Online Exit Full Screen Screen Settings 12 of 12 The average depth of the San Francisco Bay over a 24 -hour period can be modeled by the function f(t) = D, where D is the depth of the bay, in feet, a in hours. A graph of f(t) is shown below. 18 15 (1)) 12 6. 12 15 6. 18 21 24 Time (hours) Part A After how many hours, approximately, is the bay the deepest? Approximately how deep is the bay when it is at its deepest? Explain how you know. Respond in the space provided. Part B For what approximate value(s) of t is f(t) = 12 ? Explain what your answer means in the context of the situation. Prt Scn, Home F9 F1 F2 F3 F4 F5 #3 24

The biologist has a second culture to examine. She knows that the population of the culture doubles every 15 minutes. After 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. 2. (a) What was the size of the initial population? Predict the size of the culture at t=3 hours. What was the size of the population at 40 minutes? Explain and justify your answers. (b) Create a graph of the population as a function of time. Find an equation that can be used to predict the size of the population at any time t. (c) Examine the rate at which the bacteria culture is growing. How fast growing after 1 hour? After 1.5 hours? After 2 hours? Use a time interval of h = 0.01 hours to estimate these rates. Interpret these rates in terms of the context of the problem situation. How do these three rates compare? (d) the culture

Provide a geometric description, including a sketch, of the image of the function f: RC, f(x) = -2e²ix.

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