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 $40 million after 4 years while profits increased $30 million per year. Select the correct graph of this function.

Question

Hagrid Hagrid

14-12-2016
Mathematics

contestada

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 $40 million after 4 years while profits increased $30 million per year. Select the correct graph of this function.

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DelcieRiveria DelcieRiveria · Answer 1 · 2018-12-27T12:27:46+01:00

Answer:

The second graph is correct for this function.

Step-by-step explanation:

The company made combined profits of $40 million after 4 years. The profits increased $30 million per year.

Therefore the rate of change of profit function is 30 and the graph of profit function passing through the point (4,40).

Point slope of a linear function is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-40=30(x-4)[/tex]

[tex]y-40=30x-120[/tex]

Add 40 both sides.

[tex]y=30x-80[/tex]

Therefore the profit function is defined as

[tex]y=30x-80[/tex]

Put x=0

[tex]y=30(0)-80[/tex]

[tex]y=-80[/tex]

Therefore y-intercept of function is -80. So, second graph is correct for this function.

Y-intercept of first graph is positive and y-intercept of third and fourth graph are more that -50, therefore option 1, 3 and 4 are incorrect.

FelisFelis FelisFelis · Answer 2 · 2019-11-27T06:22:33+01:00

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The company paid for these costs and made combined profits of $40 million after 4 years while profits increased $30 million per year.

Let time represents by x axis and profit represented by y axis.

Therefore, the x and y coordinates from the provided information is: (4,40)

It is given that the profit increased $30 million per year, that means the slope of the line is 30.

The slope intercept form is: [tex]y=mx+c[/tex]

Substitute the respective values.

[tex]40=30(4)+c[/tex]

[tex]40=120+c[/tex]

[tex]-80=c[/tex]

Hence, the y intercept is (0,-80).

Now consider the provided graph of the function.

Only, the Graph B has y intercept (0,-80)

Therefore, the correct option is B.