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a computer manufacturer built a new facility for assembling computers. there were construction and new equipment costs. the company paid for these costs and made combined profits of $80 million after 4 years, as shown in the graph:

which equation most closely represents the line depicted in the graph?

a. f(x) = 60x − 160
b. f(x) = −60x + 160
c. f(x) = −80x + 4
d. f(x) = 80x − 4

The correct option is A.

Step-by-step explanation:

If a line passes through two points and , then the equation of line is

Let y be the profit (in millions) after x years.

From the given graph it is clear that the line passes through the point (1,-100).

The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).

The line passes through (1,-100) and (4,80). So, the equation of line is

Subtract 100 from both sides.

The function form is

Therefore, the correct option is A.