Answer:
The required graph is shown below:
Step-by-step 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](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
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](https://tex.z-dn.net/?f=80%3D%2860%29%284%29%2Bc)
![80=240+c](https://tex.z-dn.net/?f=80%3D240%2Bc)
![c=-240+80=-160](https://tex.z-dn.net/?f=c%3D-240%2B80%3D-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](https://tex.z-dn.net/?f=y%3D60x-160)
Find x intercept by substituting y=0 in ![y=60x-160](https://tex.z-dn.net/?f=y%3D60x-160)
![0=60x-160](https://tex.z-dn.net/?f=0%3D60x-160)
![160=60x](https://tex.z-dn.net/?f=160%3D60x)
![x\approx 2.7](https://tex.z-dn.net/?f=x%5Capprox%202.7)
x intercept is approximately 2.7 years.
The required graph is shown below: