Consider the following data:

Year	Revenue ($ billions)	Year	Revenue ($ billions)
1980	2.75	1994	5.39
1985	3.75	1995	5.49
1990	5.02	1996	5.91
1991	4.80	1997	6.37
1992	4.87	1998	6.95
1993	5.15

(a)

Write the equation of the power function that models the data.

Let y be the box office revenues in billion dollars and x be the number of years from 1970.

That is x = 0 for 1970, x = 1 for 1971, x = 2 for 1972 and so on.

So the table becomes,

x	y	x	y
10	2.75	24	5.39
15	3.75	25	5.49
20	5.02	26	5.91
21	4.80	27	6.37
22	4.87	28	6.95
23	5.15