Population of city

Question

The population of a certain city area is estimated to be declining according to the model P(t)=373,000e^-0.017t, where t is the number of years from the present. What does this model predict the population will be in 13 years? Round to the nearest person.

Answer 1

So our predicted-population function is

P(t) = 373000 * e^{-0.017 * 13}

= 373000 * e^-0.221

= 299040.3 people, which we'll round up to 299041 whole people.