**x = 35**

**1997 + 35 = 2032**

**The answer is 2032**

The average annual number of cigarettes smoked by an adult in some country continues to decline. For the years 1997-2006, the equation y=-49.2x+1756.7 approximates this data. Here x is the number of years after 1997 and y is the average annual number of cigarettes somked. If this trend continues, find the year in which the average annual number of cigarettes smoked is zero. To do this let y=0 and solve for x. (Round down to the nearest year)

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Sameer A. | Senior VB.NET Programmer (Web/Windows)Senior VB.NET Programmer (Web/Windows)

Marked as Best Answer

y= -49.2x + 1756.7

0= -49.2x + 1756.7

-1756.7 = -49.2x

-1756.7 / -49.2 = -49.2x / -49.2

x = 35.705 We will round down the result so **x = 35**

When x=35 that is 35 years after 1997. The year in which the average annual number of cigarettes smoked is zero is
**1997 + 35 = 2032**

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