Chapter 2.4, Problem 24E

(a)

To determine

The correct logistic function $f$ from the provided choices for the following curve, the graph shows the number of science research articles authored by researchers in United States during the period 1981-2010.

The provided options are:

(A). $A\left(t\right)=\frac{11,000}{1+58{\left(1.50\right)}^{-t}}$

(B). $A\left(t\right)=\frac{11,000}{1+58{\left(0.98\right)}^{-t}}$

(C). $A\left(t\right)=\frac{300}{1+0.70{\left(1.04\right)}^{-t}}$

(D). $A\left(t\right)=\frac{11,000}{1+58{\left(1.02\right)}^{-t}}$

(b)

To determine

To calculate: what percentage was the number of articles growing around 1985 according to the obtained model from graph, graph is shown below: