Question: One hundred bacteria are started in a culture and the number N of bacteria is counted each hour for 5 hours. The results are shown

One hundred bacteria are started in a culture and the number N of bacteria is counted each hour for 5 hours. The results are shown in the table, where is the time in hours.

t 01 2 N 100 126 151 4 198 243 3 5

(a) Use the regression capabilities of a graphing utility to find an exponential model for the data.
(b) Use the model to estimate the time required for the population to quadruple in size.

t 01 2 N 100 126 151 4 198 243 3 5 297

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