In 1989, research scientists published a model for predicting the cumulative number of AIDS cases(in thousands) reported in the United States: a(t)=155((t-1980)/10)^3, where t is the year. This paper was considered a "relief", since there was a fear the correct model would be of exponential type. Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".