# the core competency of Data and Technological Skills

Name_______________________________ Degree: (circle one) AA, AS, AAT Math 1414 Assessment Assignment This assessment is intended to access the core competency of Data and Technological Skills. The ability to utilize current technology to collect and/or analyze empirical, quantitative, and qualitative data to promote understanding of scientific and mathematical concepts. In such situations, the available data is used to construct a mathematical model, such as an equation or graph, which is used to approximate the likely outcome in cases where complete data is not available. (i.e. make future predictions) The number of full-time faculty at two-year colleges (in thousands) in selected years is shown in the following graph. 410 401 Number of Faculty (in thousands) 400 390 381 380 373 370 359 360 350 340 2000 349 2002 2004 2006 2008 2010 Year a) Create a table that displays the number (in thousands) of full-time faculty at two-year colleges (in thousands) with respect to its year. b) Let x = 1 correspond to the year 2001. Using a Calculator, find the Linear Equation that models the data shown in the graph and the table from part (a). Write equation in slope-intercept form. c) Graph the Line on the same graph given above. d) Identify the slope and y-intercept of the line. In a complete sentence, explain what the slope represents. e) Assuming the trend continues, determine in what year the population of full-time faculty at two-year colleges will reach 423.1 thousand. (Round to the nearest year).

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