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Choose the One Alternative That Best Completes the Statement or Answers

question 399

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table.
 Time,  (in months)  12345 Score, y (in percentage)  86.285.785.485.285.0\begin{array}{l|ccccc}\text { Time, } \text { (in months) } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Score, } \mathrm{y} \text { (in percentage) } & 86.2 & 85.7 & 85.4 & 85.2 & 85.0\end{array}
Using a graphing utility, fit a logarithmic function y=a+blnxy = a + b \ln x to the data. Using the function you found, estin how long will it take for the test scores to fall below 84%84 \% . Express your answer to the nearest month.

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