1. Math 103 Final Abilities Project Taylor Miller

2. Population of Bismarck, ND  X represents the number of years since 2000.  For example, to represent the year 2005, X = 5  Y represents the actual population in thousands.  So if the population is 57,800, Y = 57.8  X represents the number of years since 2000.  For example, to represent the year 2005, X = 5  Y represents the actual population in thousands.  So if the population is 57,800, Y = 57.8 I am going to set up a graph where:

3. Population Data Table Year Since 1990Population in Thousands 055.8 155.9 256.4 356.7 456.9 557.8 658.6 759.4 860.3 961.2 1061.3 1162.9 1264.7 Resource: http://www.biggestuscities.com/ci ty/bismarck-north-dakota

4. Scatterplot of Data Population of Bismarck, ND

5. Linear Model: y =.71x + 54.79 The increasing population of Bismarck, ND can be modeled by the following function, where x represents the number of years after 2000 and f(x) represents the population in thousands. f(x) =.71x + 54.79 the term linear function refers to two different, although related, notions

6. I will now use my model to predict the population of Bismarck in 2014. Since the year 2014 is 14 years after 2000, I will plug 14 in for x. f(14) =.71(14) + 54.79 f(14) = 9.94 + 54.79 f(14) = 64.7 (in thousands) According to my model, in 2014 the population of Bismarck will be about 64.7 thousand, or 64,700.