The following table gives the number of cassette tapes (in millions) sold in the United States for various years between 1994 and 2001.
T (YEAR) | 1994 | 1995 | 1997 | 2000 | 2001 |
S (millions of cassettes) | 345.4 | 272.6 | 172.6 | 76.0 | 45.0 |
Source: The World Almanac and Boole of Facts 2005.
a. Find the linear model S(t) = at + b that best tits these data.
b. Explain the meaning of the average rate of change for this linear model in terms of the situation.
c. According to this model, in what year will no more cassette tapes be sold? Is this answer reasonable?
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