Question

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

Answer 1

Your answer is B

Explanation:

f of x equals fifteen halves times x minus 20

Answer 2

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

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

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

`y-(-20)=(10-(-20))/(4-0)(x-0)`

`y+20=(10+20)/(4)(x)`

`y+20=(30)/(4)x`

`y+20=(15)/(2)x`

Subtracting 20 from both sides, we get

`y=(15)/(2)x-20`

The function form is

`f(x)=(15)/(2)x-20`

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.