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Question 5(Multiple Choice Worth 1 points)
(02.04 MC)

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 $10 million after 4 years, as shown in the graph:

There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.

Which equation most closely represents the line depicted in the graph?

f(x) = −10x + 4
f of x equals fifteen halves times x minus 20
f(x) = 10x − 4
f of x equals two fifteenths times x minus 20

Respuesta :

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

[tex]y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)[/tex]

[tex]y+20=\dfrac{10+20}{4}(x)[/tex]

[tex]y+20=\dfrac{30}{4}x[/tex]

[tex]y+20=\dfrac{15}{2}x[/tex]

Subtracting 20 from both sides, we get

[tex]y=\dfrac{15}{2}x-20[/tex]

The function form is

[tex]f(x)=\dfrac{15}{2}x-20[/tex]

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

Answer:

Your answer is B

Step-by-step explanation:

f of x equals fifteen halves times x minus 20

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