The population of a certain state from 2000 to 2010 was recorded. during that decade, the state grew from 19.3 million in 2000 to 24.1 million in 2010. use an exponential growth model to predict the population of the state in 2035 . let y(t) be the population of the state, in millions, t years after the year 2000. give the exponential growth function for this state's population. y (t ) =

Population in 2035 is 41.9 millions.

Step-by-step explanation:

We are given the following information in the question:

The population grew from 19.3 million in 2000 to 24.1 million in 2010.

We have to use exponential growth model to predict the population of the state in 2035.

Exponential growth function for this state's population is given by:

where A is constant and t is number of years after 2000.

In year 2000, the population is 19.3 million

In year 2010, the population is 24.1

Population of the state in 2035 =

Thus, population in 2035 is 41.9 millions.