blem 5: The table lists the concentration of E. coli bacteria P (in billions per liter) after x hours. 20 0 3 5 8 P(x) 0.5 6.2 33.3 414 a. Find an exponential function of the form P(x) = Poa" that models the data in the table. b. Use your function from part (a) to evaluate P(6.2). c. Interpret the meaning of your answer to P(6.2) and include appropriate units. d. Sketch the graph of P(x). Label and appropriately scale the axes to include the entire graph.