Question

The question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment cost. the company paid for these cost and made combined profits of $80 million after four years as shown in the graft.
answers:

a: f(x)=60x-160
b:f(x)=-60x+160
c:f(x)=-80x +4
d: f(x)= 80x -4

Answer 1

Answer:

The equation that closely represents the graph is $\mathbf{y=60x-160}$

Option A is correct.

Step-by-step explanation:

We need to find equation that represents the graph.

We can write equation in slope-intercept form: $y=mx+b$ where m is slope and b is y-intercept.

For finding the equation we need to find slope and y-intercept

Finding slope

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the graph we can find $x_1=0, y_1=-160, x_2=1, y_2=-100$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60$

We get Slope = 60

Finding y-intercept

Using point (0,-160) and slope m = 60, we can find y-intercept

$y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160$

Writing the equation

So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:

$y=mx+b\\y=60(x)+(-160)\\y=60x-160$

So, The equation that closely represents the graph is $\mathbf{y=60x-160}$

Option A is correct.