Aculture of bacteria originally numbers 500. after 5 hours there are 1500 bacteria in the culture. assuming exponential growth, how many are there after 6 hours? round your answer to the nearest integer value. after 6 hours the number of bacteria is approxi

First we solve for rate:

rate = [10^(log [(end amt / bgn amt)] / time] -1

rate = 10^(log (1,500 / 500) / 5   minus 1

rate = 10^log (3) / 5 minus 1

rate = 10^ (0.47712125472/ 5) minus 1

rate = 10^ (0.0954242509) minus 1

rate = 1.2457309395 minus 1

rate = .2457309395

Now we solve for ending amount:

Ending Amount = Beginning Amount × (1 + rate) ^ time

Ending Amount = 500 * (1.2457309395)^6

Ending Amount = 500 * 3.7371928168

Ending Amount = 1,868.5964084

Ending Amount = 1,868 (Rounded)

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