The Rate of Change $r ( t )$ Of the Total Number, in Thousand of Articles, of Research

Multiple Choice

The rate of change $r ( t )$ of the total number, in thousand of articles, of research articles in the prominent journal Physics Review written by researchers in Europe is shown in the graph, where t is time in years $t = 0$ represents the start of 1983) . Use both left and right Riemann sums with 8 subdivisions to estimate the total number of articles in Physics Review written by researchers in Europe in the 16-year period beginning 1983. (Estimate each value of $$r ( t )$$ to the nearest 0.5) . Use the sums to obtain an estimate of $$\int _ { 0 } ^ { 16 } r ( t ) d t$$ .

A) 9,000 articles
B) 50,500 articles
C) 46,000 articles
D) 4,500 articles
E) 55,000 articles