The population of a Midwest industrial town decreased from 2

The population of a Midwest industrial town decreased from 214,000 to 208,000in just 2years. Assuming that this trend continues, what will the population be after an additional 5 years?

The population will be about

nothing.

(Do not round until the final answer. Then round to the nearest whole number asneeded.)

The population will be about______?

(Do not round until the final answer. Then round to the nearest whole number asneeded.)

Solution

Dear Student Thank you for using Chegg !! Initial Population = P0 Population After 2 yrs = P Time = 2 yrs Considering exponential decrease in popultion P = P0exp(-kt) 208000 = 214000exp(-k2) 0.971962617 = exp(-k2) -0.028437935 = -2k k = 0.014218968 When t = 7yrs p = 193725.7001 = 193725