Madison is studying the growth of bacteria in food and learned it has four phases. Label the axes and show a graph of the four stages, assuming an initial bacteria count of 50 Lag Phase: Bacteria are introduced to the food, causing biochemical activity but no growth in the number of cells for the first hour. . Log Phase: Rapid exponential growth in the number of bacteria for the next two hours. . Stationary Phase: Growth stops for one hour as nutrients are used up and waste accumulates. Death Phase: All bacteria gradually die off during the final four hour phase.2. Sophia gets on her bike and accelerates until she reaches a constant speed, which she maintains for 10 minutes. She then reaches a large hill where her rate slows considerably. She maintains this slower rate for five minutes until she gets to the top of the hill where she stops. Sketch a graph that models the relationship between Sophia's rate and the passage of time (from getting on her bike until stopping at the top of the hill). Be sure to label each axis with the appropriate variable.3. The graph describes the number of bacteria in a culture over time. Bacteria Population Bacteria Number of Time (in days) Describe in detail the relationship between the number of bacteria in the culture and time