Name Instructor Section Modeling Denver Population Data According to data from the U.S. Census Bureau, the population of Denver appears to be increasing linearly over the years from 1990 to 2015. The following table shows the population, y, of Denver in 10,000's for each year, where x is the number of years since 1990. Estimates of Denver Population in 10,000's Year Years after 1990, x Population, y 1990 46.8 1995 5 51.9 2000 10 55.6 2005 15 56.1 2010 20 60.3 2015 25 68.3 Source: U.S. Census Bureau 1. Using the graph below, plot the data as ordered pairs. Label the x- and y-axes with words indicating what the variables represent. Estimates of DenverPopulation in 10,000's 75 70 65 60 55 50 45 40 35 30 10 15 20 25 2. Using a straight edge, draw a line that "best fits" the data plotted on the graph above. Note: Only draw one line, not several line segments connecting the points.3. Using either technology or algebraic manipulation, find the linear equation for the line of best fit. If you used an algebraic approach, show all work. If you used technology, briefly explain in 2 - 3 sentences the procedure you used to develop this model. Round your answer to the nearest hundredths. The equation is: 4. a) State the slope of your line of best fit. b) Using complete sentences, interpret the value of the slope in the context of this data. Don't forget to include units when appropriate. c) Does the slope seem reasonable in the context of this situation? (circle your answer) Yes or No Support your answer with 1 - 2 sentences