Answer:
1) Second option: [tex]y=0.25x+2[/tex]
2) Third option: $14,500
Step-by-step explanation:
1) The equation of the line in Slope-intercept form is:
[tex]y=mx+b[/tex]
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:
[tex]b=2[/tex]
Then, you can substitute these values into the equation [tex]y=mx+b[/tex]
and solve for the slope "m":
[tex]7=m(20)+2\\\\7-2=20m\\\\m=\frac{5}{20}\\\\m=0.25[/tex]
Therefore, the equation of this line is:
[tex]y=0.25x+2[/tex]
2) To calculate the total cost of producing 50 engines, you need to substitute [tex]x=50[/tex] into the equation of the line [tex]y=0.25x+2[/tex]. Then you get:
[tex]y=0.25(50)+2[/tex]
[tex]y=0.25x+2[/tex]
[tex]y=14.5[/tex]
Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:
$14,500
