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

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

Option A is correct.

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=(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=(y_2-y_1)/(x_2-x_1)\\Slope=(-100-(-160))/(1-0) \\Slope=(-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.