Question

The population of a city is modeled by

P ( t ) = 78 , 300 ( 1.023 ) t

P ( t ) represents the number of people and t is the number of years since 2014.


Approximate the population of the city in the year 2035, rounded to the nearest whole number.

Answer 1

the population of the city in the year 2035 is 126,226

Explanation:

The population of a city is modeled by

`P(t)= 78300(1.023 )^t`

P ( t ) represents the number of people and t is the number of years since 2014.

in the year 2014, the year t=0

we need to find the population in the year 2035

2035-2015= 21

so find population when t=21

`P(t)= 78300(1.023 )^t`

`P(21)= 78300(1.023 )^(21)=126226.36`