Solve the given problem related to population growth.
A city had a population of 22,300 in 2007 and a population of 23,400 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.