Table of Contents Linear Functions: Application The fall enrollment figures at a community college are shown Number Of Years Past 1980 Enrollment

Table of Contents Linear Functions: Application Slide 2 Use the figures only for 1985 and 1995 to write a linear model (function) for the enrollment, y, in terms of the number of years past 1980, x. The point for 1985 is (5, 2312). The point for 1995 is (15, 2897). First, use these points and the slope formula to find the slope of the line. Substitute one of the points and slope into the point-slope equation, y – y c = m(x – x c ), to get: y – 2312 = 58.5(x – 5).

Table of Contents Linear Functions: Application Slide 3 Next put, y – 2312 = 58.5(x – 5) in slope-intercept form. y – 2312 = 58.5x – y = 58.5x Use the linear model to predict the enrollment in The year 2010 corresponds to x = 30 (30 years after 1980). Substitute this into the linear model to get: y = 58.5(30) = According to the model, the enrollment in 2010 will be 3775 students.

Table of Contents Linear Functions: Application Slide 4 The population of a small town for selected years is shown Number Of Years Past 1990 Population

Table of Contents Linear Functions: Application Slide 5 Use the figures only for 1993 and 1999 to write a linear model (function) for the town's population, y, in terms of the number of years past 1990, x. Use the linear model to predict the town's population in y = 368x According to the model, the town's population in 2010 will be 27,152.

Table of Contents Linear Functions: Application