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

I believe your equation should be written as

                                                              P(t)=1.78(1.013)^t where t = 2036-2014=21

                                                              P(t)=1.78(1.013)²¹

Solving for P(t), we get                             P(t)=1.78(1.311591)

                                                              P(t)=2.33463 X 1000

                                                              P(t)=2334 people