Student enrollment in the Wentzville School District, one of the fastest-growing school districts in the state of Missouri, has projected growth as shown in the graph.

(a) Use the model y = y0 ekx to find an exponential function that gives the projected enrollment y in school year x. Let the school year 2013–14 correspond to x = 0, 2014–15 correspond to x = 1, and so on, and use the two points indicated on the graph.

(b) Estimate the school year for which projected enrollment will be 21,500 students.

Transcribed Image Text:

Enrollment Projections ·19,915 m. 20,000 19,000 18,000 H.....-............ 17,000 16,000 15,000 r.rn...r. ... 14,000 14,225 oL х 13–14 14–15 15–16 16–17 17–18 18–19 19–20 20-21 21-22 22–23 23-24 School Year Projected Enrollment