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) $A ( t ) = \frac { 4.5 } { 1 + 4.2 ( 0.7 ) ^ { - t } }$

Question

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) $A ( t ) = \frac { 4.5 } { 1 + 4.2 ( 0.7 ) ^ { - t } }$

Quizplus · Accepted Answer

The Answer is C

The Chart Shows the Number of Research Articles in the Prominent