HW 1 Functions Exponentials and Logarithms: Problem 6 (1 point) According to census data, the population of Lincoln, Nebraska was 223000 in 2000 and 256000 in 2010. For this question, you should assume the population is best modeled using exponential growth. a) Find a formula that gives the population of Lincoln (in thousands) as a function of t (years since 2000). (Note: You may have done some rounding in your answer to part a) and it may even have been counted correct. For parts b) and c) you will need to use exact values in your formula i.e. no rounding.) b) What population is predicted for Lincoln in 2022? c) In what year is the population expected to go over 440000? (Use logarithms to nd an exact answer.)