Question

According to data, what would the population be in 2010? function: p(t)=(200)(1.01223)^t

year: 1960 1990 2005 2020(est)
pop: 200k 288k 345,600 414,720

Answer 1

367 000

Explanation:

The function is

`p(t) = 200(1.012 23)^(t)`

where p(t) is in thousands

and t = the number of years since 1960.

t = 2010 – 1960

t = 50

p = 200(1.012 23)⁵⁰

p = 200 × 1.83637

p = 367

The population in 2010 would be 367 000.

The graph below shows the population growth over time. The blue dot represents the population in 2010.