In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States:a(t) = 155((t1980)/10)^3,(thousands)

wheretis the year. This paper was considered a "relief," since there was a fear the correct model would be of exponential type. Use the two data points predicted by the research modela(t)for the years1986and1999to construct anewexponential modelb(t)for the number of cumulative AIDS cases. (Round values to three decimal places.)

b(t) =? (thousands)