At the beginning of a study, a certain culture of bacteria has a population of  40. The population grows according to a continuous exponential growth model. After  5 days, there are 124 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 7 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number.

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