Exponential Functions

Question

The population of a city was about 1.78 thousand in the year 2014, with an annual growth rate of about 1.3%. This situation is represented by the growth function P(t)=1.78(1.013)^t, where t is the number of years since 2014. To the nearest whole, what will the population of the city be in 2036?

The population of the city be in 2036 will be approximately_______.

Answer 1

P(t)=1.78·(1.013)^t

 

In 2036, t = 2036 - 2014 = 22

 

P(22) = 1.78·(1.013)²²

 

Use your calculator to compute the answer.

Answer 2

1.78(1.013)²² =2.36...rounded to the nearest whole thousand is 2