Answer:
The value of y be in the table is 275 more than its value on the graph when x = 11.
Step-by-step explanation:
The slope represent the changer is y with respect to change in x.
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table it is noticed that the value of y increased by 60 as the value of x increased by 1. Therefore the slope of the function is 60. It is also calculated by the formula. The two points from the table are (3,180) and (4,240).
[tex]Slope=\frac{240-180}{4-3}=60[/tex]
The point slope form is,
[tex]y-y_1=m(x-x_1)[/tex]
The equation of function is,
[tex]y-180=60(x-3)[/tex]
[tex]y-180=60x-180[/tex]
[tex]y=60x[/tex]
Put x=11
[tex]y=60\times 11=660[/tex]
Therefore the value of table is 660 at x=11.
The two points from the graph are (2,70) and (4,140).
[tex]Slope=\frac{140-70}{4-2}=35[/tex]
The equation of line is,
[tex]y-70=35(x-2)[/tex]
[tex]y-70=35x-70[/tex]
[tex]y=35x[/tex]
Put x=11
Therefore the value of line is 385 at x=11.
The difference between values of y at x=11 is,
[tex]660-385=275[/tex]
Therefore the value of y be in the table is 275 more than its value on the graph when x = 11.
