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 2000.

y = 69 billion dollars for the year 2000

Step-by-step explanation:

Imports from a certain country grew from about 45 billion dollars in 1994 to 69 billion in 2000

Let

x = year

y = imports

From the given information we have,

(x₁, y₁) = (1994, 45)

(x₂, y₂) = (2000, 69)

The equation of line is given by

(y - y₁) = m (x - x₁)

Where m is the slope and is given by

m = (y₂ - y₁) / (x₂ - x₁)

m = (69 - 45) / (2000 - 1994)

m = 24/6

m = 4

So the equation becomes

(y - 45) = 4 (x - 1994)

Estimate the imports for the year 2000.

Substitute x = 2000

(y - 45) = 4 (2000 - 1994)

(y - 45) = 4 (6)

y - 45 = 24

y = 24 + 45

y = 69 billion dollars

Note:

Since the imports for the year 2000 was already given let us figure out imports for some other year.

Estimate the imports for the year 1997.

Substitute x = 1997

(y - 45) = 4 (1997 - 1994)

y - 45 = 4 (3)

y - 45 = 12

y = 12 + 45

y = 57 billion dollars