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

Question

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absor201 absor201 · Answer 1 · 2020-12-15T15:28:04+01:00

Answer:

The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]

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: [tex]y=mx+b[/tex] 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: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we can find [tex]x_1=0, y_1=-160, x_2=1, y_2=-100[/tex]

Putting values and finding slope

[tex]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[/tex]

We get Slope = 60

Finding y-intercept

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

[tex]y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160[/tex]

Writing the equation

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

[tex]y=mx+b\\y=60(x)+(-160)\\y=60x-160[/tex]

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

Option A is correct.