Problem

Box Office Receipts U.S. movie box office receipts, in billions of dollars...

Box Office Receipts U.S. movie box office receipts, in billions of dollars, are shown in 5-year increments from 1989 to 2009. (Source: www.boxofficemojo.com)

Year

Receipts

1989

5.033

1994

5.396

1999

7.413

2,004

9.381

2,009

10.595

These receipts R are reasonably approximated by the linear model

R = 0.3022x + 4.542,

where x = 0 corresponds to 1989, x = 5 corresponds to 1994, and so on. Using the model, calculate the year in which the receipts first exceed each amount.

(a) $6.5 billion (b) $10 billion

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