Population growth the resident populations p (in thousands) of wisconsin fron 2000 through 2009 can be modeled by the exponential function
p(t) = 5382(1.0057)t
where t is the time in years with t = 0 corresponding to 2000.use the model to estimate the population in the year (a) 2016 and (b) 2025.

(a) 5894 thousand

(b) 6204 thousand

Step-by-step explanation:

Given:

The expression for population growth of the residents of Wisconsin is given as:

For the year 2000, the time is,

(a) Population in 2016.

Difference in years from 2000 to 2016 = 2016 - 2000 = 16 years.

Therefore, the time 't' for 2016 is equal to 16 years.

Now, plug in 16 for 't' in the above expression and solve for population 'P'. This gives,

Therefore, the estimated population of the residents in 2016 is 5894 thousand.

(b) Population in 2025.

Difference in years from 2000 to 2025 = 2025 - 2000 = 25 years.

Therefore, the time 't' for 2025 is equal to 25 years.

Now, plug in 25 for 't' in the above expression and solve for population 'P'. This gives,

Therefore, the estimated population of the residents in 2016 is 6204 thousand.