**Title: Understanding Data Analysis Through a Contest Event** **Introduction:** A zoo organized a one-day contest to name a new baby elephant. Visitors deposited their entries in a special box between noon (t=0) and 8 P.M. (t=8). The number of entries in this box as hours passed is modeled by a differentiable function, E(t), where t is the time in hours. The values of E(t), in hundreds of entries, at various times are shown in the following table. **Table:** | t (hours) | E(t) (hundreds of entries) | |-----------|----------------------------| | 0 | 0 | | 2 | 4 | | 5 | 13 | | 7 | 21 | | 8 | 23 | **Exercise:** 27. **Objective:** - Use the data in the table to approximate the rate, in hundreds of entries per hour, at which entries were being deposited at time t=6. Show the computations that lead to your answer. **Instructions:** - Please respond on a separate paper, following directions from your teacher. This exercise encourages students to apply their knowledge of data analysis and mathematical modeling to interpret real-world events.

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