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 while profits increased $60 million per year. Select the correct graph of this function.. . There is a graph of a line that has a y intercept that is approximately negative $160 million and an x intercept that is approximately 2.7 years.

Answer 1

The required graph is shown below:

Explanation:

Consider the provided information.

The company paid for these costs and made combined profits of $80 million after 4 years while profits increased $60 million per year.

Let x represents the number of years and y represents the profits.

Thus the points and slope are: (4,80) and m = 60,

The slope intercept form is:
`y=mx+c`

where m is the slope of the line and c is the y intercept

Substitute, x=4, y=80 and m=60 in above formula and find the y intercept.

`80=(60)(4)+c`

`80=240+c`

`c=-240+80=-160`

Hence, y intercept is negative $160 million.

Substitute m=60 and c=-160 in slope intercept form.

The required equation is:
`y=60x-160`

Find x intercept by substituting y=0 in
`y=60x-160`

`0=60x-160`

`160=60x`

`x\approx 2.7`

x intercept is approximately 2.7 years.

The required graph is shown below:

Answer 2

Given a point (4,80) and a slope, m = 60, these can be used to formulate the equation of the graph. Using the point-slope formula:

y - y1 = m(x - x1)
y - 80 = 60(x - 4)
y - 80 = 60x - 240
y = 60x -160

Taking the x and y-intercepts:

At y = 0

0 = 60x - 160
x = 2.7

At x = 0

y = 60(0) - 160
y = -160

Therefore, you could state that there is a graph of a line that has a y intercept that is approximately negative $160 million and an x intercept that is approximately 2.7 years.