U.S. movie box office receipts, in billions of dollars, are shown in 5-year increments from 1993 to 2013. (Source: www.boxofficemojo.com)

Year........................ Receipts

1993.......................... 5.154

1998.......................... 6.949

2003.......................... 9.240

2008.......................... 9.631

2013........................ 10.924

These receipts R are reasonably approximated by the linear model R = 0.2844x + 5.535, where x = 0 corresponds to 1993, x = 5 corresponds to 1998, and so on. Using the model, calculate the year in which the receipts first exceed each amount.

(a) $7.6 billion 

(b) $10 billion

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