MATH 1414 Core Competency of Data and Technological Skills Worksheet

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).