College Math question, More will follow

Question

Suppose that the imports from a certain country grew from about 45 billion dollars in 1994 to 69 billion in 2000. Let x = 0 correspond to 1994. Estimate the imports (in billions of dollars) for the year 2002.

Answer 1

imports = f(x) = y

x = the year, x=0 is 1994

2000 is x=6

there are two points, (0,45) and (6,69)

They have a linear relationship, with a line having slope = (69-45)/6 = 24/6 = 4

y intercept = 45

the equation is y=4x +45

for 2002, x=8

y=4(8) +45 = 32+45 = 77 = $77 billion