In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.

a. Create and graph a function to model the population, y , (in thousands), x years after 2000.
b. In complete sentences, interpret the relationship between the rate of change of the function and its graph.
c. Predict the population of the city in the year 2012.

In your final answer, be sure to include your model, graph, interpretation, and prediction of the function.​