Question: UMB Enrollment Projections

In Fall 2014, total UMB university undergraduate headcount (HC) was 12,700 and in Fall 2015, it increased to 12,949.

1. From 2014 to 2015, what was the absolute change?
2. Using 2015 as your starting year (2015 = year 0), determine a linear equation that calculates the HC over time, assuming the annual absolute change stays the same. Clearly identify the variable names and symbols in your equation.
3. Based on your linear equation, what would have been the HC in Fall 2016?
4. When will the HC first exceed 15,000?
5. From 2014 to 2015, what was the relative change in HC? Write your answer as a percent, rounded to two decimal places. 1.78% is an example of a percent rounded to two decimal places.
   BONUS Questions:
6. Using 2015 as your starting year (2015 = year 0), determine an exponential equation that calculates the HC over time, assuming the annual relative change stays the same. Clearly identify the variable names and symbols in your equation.
7. Based on your exponential equation what do you predict the HC would have been for Fall 2016? Please round your answer to the nearest whole person.
8. Based on your answer in g), when will HC first exceed 15,000?
9. It turned out that in Fall 2016, HC was 12,847, a decrease from Fall 2015. Since reality was so far from either forecast, do you think making these kind of projections is useful? Please explain in a sentence or two.

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