Answer:
The correct option is 3. The rate of change in the function [tex]y=x-6[/tex] is less than the rate of change of the function represented in the table.
Step-by-step explanation:
The given table represents a function.
Choose any two points from the table. The two points are (0,-5) and (2,1).
Slope of a line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the function that is represented by the table, is
[tex]m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3[/tex]
Therefore the rate of change of function is 3.
The given function is
[tex]y=x-6[/tex]
It is a slope intercept form of a line.
[tex]y=mx+b[/tex]
Where m is the slope and b is y-intercept.
Therefore the slope of the given function is 1.
Since 1<3, therefore rate of change in the function [tex]y=x-6[/tex] is less than the rate of change of the function represented in the table. Option 3 is correct.
Answer:
The correct option is 3. The rate of change in the function y=x-6 is less than the rate of change of the function represented in the table.
Step-by-step explanation:
The given table represents a function.
Choose any two points from the table. The two points are (0,-5) and (2,1).
Slope of a line is
m=\frac{y_2-y_1}{x_2-x_1}
Slope of the function that is represented by the table, is
m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3
Therefore the rate of change of function is 3.
The given function is
y=x-6
It is a slope intercept form of a line.
y=mx+b
Where m is the slope and b is y-intercept.
Therefore the slope of the given function is 1.
Since 1<3, therefore rate of change in the function y=x-6 is less than the rate of change of the function represented in the table. Option 3 is correct.
