At the beginning of a study, a certain culture of bacteria has a population of 460. The population grows according to a continuous exponential growth model. After 7 days, there are 506 bacteria. (a) Let t be the time (in days) since the beginning of the study, and let y be the number of bacteria at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. (b) How many bacteria are there 11 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. |bacteria

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