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Every Day the Office of Undergraduate Admissions Receives Inquiries from Eager

Question 51

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Every day the Office of Undergraduate Admissions receives inquiries from eager high school students.They keep a running account of the number of inquiries received each day, along with the total number received until that point.Below is a table of weekly figures from about the end of August to about the end of October of a recent year.
 Week di  Inquiries That  Week  Total for Yeal 8/289/01108511,9289/049/08119313,1219/119/15131214,4339/189/22144315,8769/259/29158817,46410/0210/06174619,21010/0910/13192121,13110/1610/20211323,24410/2310/27232525,569\begin{array}{ccc}\text { Week di } & \begin{array}{c}\text { Inquiries That } \\\text { Week }\end{array} & \text { Total for Yeal } \\8 / 28-9 / 01 & 1085 & 11,928 \\9 / 04-9 / 08 & 1193 & 13,121 \\9 / 11-9 / 15 & 1312 & 14,433 \\9 / 18-9 / 22 & 1443 & 15,876 \\9 / 25-9 / 29 & 1588 & 17,464 \\10 / 02-10 / 06 & 1746 & 19,210 \\10 / 09-10 / 13 & 1921 & 21,131 \\10 / 16-10 / 20 & 2113 & 23,244 \\10 / 23-10 / 27 & 2325 & 25,569\end{array}
Based on the table determine a formula that approximates the total number of inquiries received by a given week.Use your formula to estimate how many inquiries the admissions office will have received by November 24.

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