Question

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?
f(x) = 60x - 160
fix) = -60x + 160
fix) = -80x + 4
fix) = 80x - 4

Answer 1

Answer: First option.

Step-by-step explanation:

The  equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Observe in the graph provided that the line intersects the  y-axis at this point:

$(0,-160)$

Therefore, the y-intercept is:

$b=-160$

Let's check each option:

1) $f(x) =60x -160$

Notice that:

$b=-160$

2) $f(x) = -60x + 160$

You can identify that:

$b=160$

3) $f(x) =-80x + 4$

Observe that the y-intercept is:

$b=4$

4) $f(x)= 80x- 4$

Notice that:

$b=-4$

Therefore, the equation that most  closely represents the line depicted in the graph is:

$f(x) = 60x - 160$