Solve the given problem related to population growth.

A city had a population of 22,700 in 2007 and a population of 25,300 in 2012.
(a) Find the exponential growth function for the city. Use
t = 0
to represent 2007. (Round k to five decimal places.)
N(t) =



(b) Use the growth function to predict the population of the city in 2022. Round to the nearest hundred.