Find the Logarithmic Function That Models the Data in the Table

question 253

Multiple Choice

Find the logarithmic function that models the data in the table below. $\begin{array}{c|c|c|c|c|c}\mathrm{x} & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 1.3 & 4.9 & 6.8 & 8.0 & 9.2\end{array}$

• A) \(f ( x ) = 1.39 + 4.86 \log x\)
• B) \(f ( x ) = 4.86 + 1.39 \ln x\)
• C) \(\mathrm { f } ( \mathrm { x } ) = 1.29 + 5.19 \ln \mathrm { x }\)
• D) \(f ( x ) = 1.39 + 4.86 \ln x\)

---

Definitions:

Situational Factors

External influences that affect an individual's behavior and decision-making process in various environments.

Individual Factors

Personal attributes or characteristics that can influence behavior, decisions, and outcomes.

Social Problems

Issues that adversely affect an individual's or group's well-being in society, often requiring collective solutions to address.

Core Difference

A fundamental and pivotal distinction that sets something apart from others, often highlighting a unique characteristic or feature.