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

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)