In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States: a(t) = 155(t- 1980 10 (thousands) where t is the year. This paper was...

Extracted text: In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States: a(t) = 155(t- 1980 10 (thousands) where t is 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 model a(t) for the years 1989 and 1999 to construct a new exponential model b(t) for the number of cumulative AIDS cases. (Round values to three decimal places.) b(t) = (thousands) Discuss how the two models differ and explain the use of the word "relief."