"A strain of E-coli SCleel-recA718 is placed into a nutrient broth at 30 Celsius and allowed to grow. The data given below are collected where x is for time in hours and y is W. The theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured." Time (hours), 3: Population, y The data above is credited to Dr. Polly Lavery, Joliet Junior College. a. Insert a scatter diagram or plot of the given data. [0.667 points] a'. Select two points from the given data to build an exponential model. Please round your final answer to two decimal places and write your answer in the form ofy = abx. [0.667 points] Note: need to show work and explain the step-by-step process leading to the answer. Furthermore, don't use a calculator to find the exponential model. b. Use a graphing calculator to build an exponential model from the given data. [0.667 points] Note: include all the given data in the Wing two points. In addition, please explain how you input the data in the calculator and the steps to compute the exponential function/model. d. Insert a graph of the exponential model found in part b. onto the scatter diagram from part a. [0.667 points] e. Predict the population when x = 8 using the exponential model found in part b. [0.667 points] Please show and explain your step-by-step solution, and please do not insert a table/graph to answer this problem. f. Predict the time in hours when the population will reach 3.5 using the exponential model found in part b. [0.667 points] Please show and explain your step-by-step solution, and please do not insert a table/graph to answer this