According to the Atlanta Journal-Constitution, the market research firm NPD Group “reported a dramatic 53% increase in sales of suits, dress pants, sport coats, and jackets to young men” in 2005 over 2004 sales of $645 million dollars.
a. Assuming that this trend continues, find a natural growth function S(t) that gives the sales as a function of t, years after 2004.
b. Based on your model, what were the 2005 sales of suits, dress pants, spoil coats, and jackets to young men?
c. Use your model to predict the year in which sales will reach $2 billion? ($2 billion is $2000 million.)
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