It Is Estimated That Service Industries Will Grow at the Rate

Short Answer

It is estimated that service industries will grow at the rate of R'(t)= 5
where t is the time in decades and R(t)is the percent of (non-farming)workers who are employed in the service industry.If 30 percent of the (non-farming)workers are now in the service industry,then use the trapezoidal rule and
to approximate 30 +
the percentage of workers who will be working in the service industry in 2 decades.