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K 5 9 A strain of bacteria is placed into a petri dish at 30 C and allowed to grow The following data are collected 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 Complete parts a e Time hours x 0 25 3 5 4 5 6 HO Population y 0 27 0 53 0 76 1 03 1 46 A strain of bacteria is placed into a petri dish at 30 C and allowed to grow The following data are collected 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 Complete parts a e Time hours x 0 2 5 35 45 6 Population y 0 27 0 53 0 76 1 03 1 46 CCC a Treating time x as the predictor variable use a graphing utility to fit an exponential function to the data yab 0 2698 1 3328 Round to four decimal places as needed b Express the function found in part a in the form N t Noe where x t N t 0 26980 28731 Round to four decimal places as needed c Graph the data together with the exponential function found in part a or part b on a scatter diagram Which graph correctly illustrates the exponential model found for this data Question 1 5 9 1 GC Part 4 of 5 Q NEUV ZUBOE Round to four decimal places as needed c Graph the data together with the exponential function found in part a or part b on a scatter diagram Which graph correctly illustrates the exponential model found for this data G 200 G i C E HW Score 8 33 1 of 12 points Points 1 of 5 d Use the exponential function from part a or b to predict the population at x 7 hours 0

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