SOLUTION: In a certain question, total alcoholic beverage sales were $110.4 billion in 2006 and 134.1 billion in 2009. (a) Let the x-axis denote time and the y-axis denote the amount of a

Algebra ->  Graphs -> SOLUTION: In a certain question, total alcoholic beverage sales were $110.4 billion in 2006 and 134.1 billion in 2009. (a) Let the x-axis denote time and the y-axis denote the amount of a      Log On


   

Question 454092: In a certain question, total alcoholic beverage sales were $110.4 billion in 2006 and 134.1 billion in 2009.
(a) Let the x-axis denote time and the y-axis denote the amount of alcohol sales (in billions). Let x = 0 correspond to 2006. Fill in the blanks: The given data is represented by the points (__,100.4) and (3,___).
(b) Find the linear equation determined by the two points in part (a)
(c) Use the equation in part (b) ot estimate the alcohol sales produced in 2008.
(d) If the model remains accurate, when do alcohol sales reach $170 billion?
Thankyou for the help. It is much appreciated.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The given points are (0, 100.4) and (3, 134.1)
Use the point-slope formula
+%28+y+-+110.4+%29+%2F+%28+x+-+0+%29+=+%28+134.1+-+110.4+%29+%2F+%28+3+-+0+%29+
+%28+y+-+110.4+%29+%2F+x+=+23.7+%2F+3+
Multiply both sides by +3x+
+3%2A%28+y+-+110.4+%29+=+23.7x+
+3y+-+331.2+=+23.7x+
+3y+=+23.7x+%2B+331.2+
+y+=+7.9x+%2B+110.4+ this is the equation
Sales in 2008:
+y+=+7.9%2A2+%2B+110.4+
+y+=+15.8+%2B+110+4+
+y+=+126.2+
The sales in 2008 were 126.2 billion
-------------
+y+=+7.9x+%2B+110.4+
+170+=+7.9x+%2B+110.4+
+7.9x+=+59.6+
+x+=+7.54+
2006+%2B+7.54+=+2013+
sales will reach 170 billion in 2013