Solve the Problem Using a Graphing Utility, Fit a Logarithmic Function Y

question 371

Multiple Choice

Solve the problem.
-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. $$\begin{array} { l | c c c c c } \text { Time, t ( in months) } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Score, y ( in percentage) } & 86.2 & 85.7 & 85.4 & 85.2 & 85.0\end{array}$$ Using a graphing utility, fit a logarithmic function y $$y = a + b \ln x$$ the data. Using the function you found, estimate
How long will it take for the test scores to fall below 84%. Express your answer to the nearest month.

• A) 8 months
• B) 12 months
• C) 20 months
• D) 10 months

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Definitions:

Ideological Arguments

Debates or discussions driven by deeply held beliefs or values, often relating to politics, morality, or ethics.

Faith

Strong belief or trust in something or someone, often without empirical evidence.

Conviction

A strongly held belief or opinion.

Ideological Reasoning

Forming conclusions based strictly on a predefined set of doctrines or political beliefs.