In a certain country, total alcoholic beverage sales are reported throughout the
ID: 2935164 • Letter: I
Question
In a certain country, total alcoholic beverage sales are reported throughout the year. Sales were reported as$115.7115.7 billion at the beginning of 2001 and $134.4 billion at the beginning of 2003.
(a) Let the x-axis denote time and the y-axis denote the amount of alcohol sales (in billions). Let x=0 correspond to 2001.
Fill in the blanks: The given data is represented by the points (____,115.7) and (2,____).
(b) Find the linear equation determined by the two points in part (a).
(c) Use the equation in part (b) to estimate the alcohol sales produced in 2002.
(d) If the model remains accurate, in what year will reported alcohol sales reach
$160 billion?
Explanation / Answer
(a) The given data is represented by the points (0,115.7) and (2 ,134.4)
b) linear equation : y-115.7=((134.4-115.7)/(2-0))*(x-0)
y=115.7+9.35x
c) for 2002 ; x=1; hence estimated alcohol sales: y=115.7+9.35*1=125.05
d) for y=160;
x =(160-115.7)/9.35=~4.73
hence that sales should be expected in year 2006