Bacteria grow exponentially. There is often a doubling time associated with this growth; the amount of time it takes for the population to double. In the first part of this assessment, you will take on the role of a scientist studying bacteria. The bacteria grow in a petri dish exponentially modelled by the equation: A(t)=16(2)t6, where A is the number of bacteria and t is time in hours. A scientist has injected the bacteria with a poison that decays in the bacteria exponentially. The amount of poison in the bacteria colony is modelled by the equation P(t)=100(0.5)t, where P is the percentage of poison remaining and t is the time in hours. Graph both functions on the same grid with the vertical axis representing both the number of bacteria, A, and the percentage of poison, P, You can graph using a graphing application of your choice or by hand, Include titles, units and scales, and label each function. Bold text start(5 marks)Bold text End Based on both graphs state: The y-intercepts Bold text start(2 marks)Bold text End Whether the function is decreasing or increasing from left to right and explain how you can tell based on the equations Bold text start(4 marks)Bold text End Algebraically determine the amount of bacteria and the percentage of poison remaining after 30 minutes Bold text start(6 marks)Bold text End Estimate when there will be 20 bacteria Graphically Bold text start(1 mark)Bold text End Algebraically and with trial and error to one decimal place Bold text start(4 marks)Bold text End Algebraically and with trial and error determine when there will be 30% poison left to one decimal place.Bold text start (4 marks)Bold text End Solve 16(2)t6=100(0.5)t using the graph and confirm using a left side/right side table. Bold text start(4 marks)