Answer:
The correct option is A.
Step-by-step explanation:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
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
[tex]y-(-100)=\frac{80-(-100)}{4-1}(x-1)[/tex]
[tex]y+100=\frac{180}{3}(x-1)[/tex]
[tex]y+100=60(x-1)[/tex]
[tex]y+100=60x-60[/tex]
Subtract 100 from both sides.
[tex]y+100-100=60x-60-100[/tex]
[tex]y=60x-160[/tex]
The function form is
[tex]f(x)=60x-160[/tex]
Therefore, the correct option is A.
