This exercise uses the population growth model. The bat population in a certain

Question

This exercise uses the population growth model. The bat population in a certain Midwestern county was 290,000 in 2012, and the observed doubling time for the population is 34 years. (a) Find an exponential model n(t) = n_0 2^t/a for the population t years after 2012. n(t) = 290000(2)^(t/34) (b) Find an exponential model n(t) = n_0 e^rt for the population t years after 2012. Round your r value to four decimal places.) n(t) = Your answer cannot be understood or graded.

Explanation / Answer

Dear Student Thank you for using Chegg !! Given that population of bacteria doubles every 34 years And initial population (P0) = 290000 P = P0 (2)^ kt P := Population at time t hours P0:- Initial Population k :- Rate of increase t:- Time elapsed in hours Now after 34 hours P = 2P0 => 2P0 = P0 2^34k 2 = 2^34k 2^(34k-1) = 1 34k-1 = 0 k = 1/34 Hence P = P0 (2)^(1/34)t P = 290000* 2^(1/34)t b) Information Insufficient

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