The monthly rent for a one-bedroom apartment at North Shore Towers for six consecutive years is shown in the table.
a. Represent the years using the numbers 5, 6, 7, 8, 9, and 10 respectively. Draw a scatterplot for the data.
b. Find the exponential regression equation that models the rent increases. Round to the nearest thousandth.
c. Predict the rent in the year 2021. Round to the nearest dollar.

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Monthly Year Rent 2005 $2,500 2006 2,590 2007 2,675 2008 2,750 2009 2,850 2010 2,925