Question 409495
According to surveys conducted from 2000 to 2010, Fun Pop's percentage of soft drink market declined from 14.2% in 2002 to 13.4% in 2007. 
If the percentage declined linearly during this time, then do the following
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You have two points: (2002,14.2) and (2007,13.4)
1. Find the linear equation that can be used to predict the Fun Pop's percentage of soft drink market, y, based on the year, x.
slope = (13.4-14.2)/(7-2) = -0.8/5 = -0.16
Form: y = mx + b
13.4 = (-0.16)*7+b
b = 14.52
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Percent = -0.16(year after 2000)+14.52
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2. What is the slope of the linear equation and its interpretation
slope = -0.16
The Fun Pop's % of the market decreases 0.16% each year after 2000.
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3. Find the x-intercept and interpret its meaning
Percent intercept: P = 14.52 
In 2000 the % of market share was 14.52.
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Year intercept = ?
Solve -0.16x+14.52 = 0
-0.16x = -14.52
x = 90.75
In the year 2091 the % market share will be zero.
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4. Predict Fun Pop's percentage of soft drink market in 2014.
P(14) = -0.16(14)+14.52
P(14) = 12.28%
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Cheers,
Stan H.
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