The Chart Shows the Number of Research Articles in the Prominent

question 35

Multiple Choice

The chart shows the number of research articles in the prominent journal Physics Review that were written by researchers in Europe during 1983 - 2003 ( $$t = 0$$ represents 1983) .
Which of the following logistic functions best models the data (t is the number of years since 1983.) Try to determine the correct model without actually computing data points.

• A) \(A ( t ) = \frac { 5.1 } { 1 + 4.5 ( 1.2 ) ^ { - t } }\)
• B) \(A ( t ) = \frac { 4.5 } { 1 + 4.2 ( 1.2 ) ^ { - t } }\)
• C) \(A ( t ) = \frac { 7.0 } { 1 + 5.4 ( 1.2 ) ^ { - t } }\)
• D) \(A ( t ) = \frac { 7.0 } { 1 + 5.4 ( 0.7 ) ^ { - t } }\)
• E) \(A ( t ) = \frac { 4.5 } { 1 + 4.2 ( 0.7 ) ^ { - t } }\)

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Definitions:

Compressed Workweek

A work schedule that allows employees to work the standard number of weekly hours in fewer days, often resulting in extended workdays and a shorter workweek.

Work Schedule

The predetermined days and hours set for employees to perform their job duties, which can vary in flexibility, duration, and structure.

Task Significance

The extent to which a job has a substantial impact on the lives or work of other people, either inside or outside the organization.

Occupational Safety and Health Administration (OSHA)

Labor Department agency responsible for inspecting employers, applying safety and health standards, and levying fines for violation.