A population of animals is growing exponentially and an ecol

A population of animals is growing exponentially, and an ecologist has made the following table of the population size, in thousands, at the start of the given year. Looking over the table, the ecologist realizes that one of the entries for population size is in error. Which entry is it, and what is the correct population? (Round your population answer to three decimal places.)

Solution

since the population is growing exponentialy therefore the ratio of each consecutive pair of popilation have to b equal

5660/5290=1.07

6056/5660=1.07

6450/6056=1.065

6934/6450=1.075

7419/6934=1.07

so the population in 2010 is 6450 which have to be 6450×1.07=6480

therefore the error is in the population size of 2010 and the population have to be 6480 in 2010.