Stitz-Zeager_College_Algebra_e-book

# All that remains is to nd a2 to that end we use the

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Unformatted text preview: ermission to use it in this problem. 394 Exponential and Logarithmic Functions Week x Total Headcount Week x Total Headcount Week x Total Headcount 1 2 3 4 5 6 7 8 1194 1564 2001 2475 2802 3141 3527 3790 9 10 11 12 13 14 15 16 4065 4371 4611 4945 5300 5657 6056 6478 17 18 19 20 21 22 23 24 7161 7772 8505 9256 10201 10743 11102 11181 With the help of your classmates, ﬁnd a model for this data. Unlike most of the phenomena we have studied in this section, there is no single diﬀerential equation which governs the enrollment growth. Thus there is no scientiﬁc reason to rely on a logistic function even though the data plot may lead us to that model. What are some factors which inﬂuence enrollment at a community college and how can you take those into account mathematically? 17. As of the writing of this set of exercises, the Enrollment Planning Report for Fall Semester 2009 has only 10 data points for the ﬁrst 10 weeks of the registration period. Those numbers are given below. Week x Total Headcount 1 2 3 4 5 6 7 8 9 10 1380 2000 2639 3153 34...
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