In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States: _ 3 am = 155(%) , (thousands) where t is the yean 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 model a(t) for the years 1986 and 1998 to construct a new exponential model b(t) for the number of cumulative AIDS cases. (Round values to three decimal places) 170) = , (thousands) Discuss how the two models differ and explain the use of the word \"relief."