In a certain country, total alcoholic beverage sales are reported throughout the year. Sales were reported as $116.2 billion at the beginning of 2002 and $134.7 billion at the beginning of 2004.
(a) Let the x-axis denote time and the y-axis denote the amount of alcohol sales (in billions). Let x = 0 correspond to 2002. Fill in the blanks: The given data is represented by the points (____,116.2) 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 2003.
(d) If the model remains accurate, in what year will reported alcohol sales reach $160 billion?