The graph shows the total cost (y) of producing x motorbike engines.

complete the following sentences based on the graph.

the equation of the line is y = .

the total cost of producing 50 engines is .
option 1
0.2x+2
0.25x+2
0.4x+2
1.2x+2

option 2
$12,250
$14,750
$14,500
$15,000

1) Second option:  

2) Third option: $14,500

Step-by-step explanation:

1) The equation of the line in Slope-intercept form is:

Where m is the slope and b is the y-intercept.

You know the point (20,7) of the line and you can observe in the graph that the y-intercept is:

Then, you can substitute these values into the equation  

and solve for the slope "m":

Therefore, the equation of this line is:

2) To calculate the total cost of producing 50 engines, you need to substitute into the equation of the line  . Then you get:

Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:

$14,500

1. B

2. C

Step-by-step explanation:

☺☻

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)