Total box-office receipts (in millions of dollars) declined from 2002 to 2006. T

Question

Total box-office receipts (in millions of dollars) declined from 2002 to 2006. The receipts in year x can be approximated by y 78.70x +9723.9, where x 2 corresponds to 2002. Assume this equation remains valid through 2012 (a) Estimate the box-office receipts in 2006. (b) In what year will the box-office receipts be $9 billion? (a) In 2006, the approximate total of box-office receipts is s million. Type an integer or decimal rounded to two decimal places as needed) (b) The box-office receipts will be $9 billion in the year

Explanation / Answer

y = -78.70*x + 9723.90

a. For 2006, x = 6.

y = -78.70*6 + 9723.90
y = 9251.7

b. $9 billion = $9000 million
i.e. y = 9000

9000 = -78.70*x + 9723.90
-78.70*x = -723.9
x = 723.9/78.70
x = 9.20
x =9 (approx.)

That is, the year = 2009.

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