The rate of change in the function Y = 2X +5 is greater than the rate of change of the function represented in the table.
What is the slope?
The slope is also known as the rate of change of the function is the gradient of a line is a number that helps to know both the direction and the steepness of the line.
As the points of (x, y) are given to us, therefore, the slope of the line or the rate of change can be written as,
[tex]\text{Rate of change of function} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the value of the two of the points,
[tex](x_1, y_1) = (-1, 0)\\\\(x_2, y_2) = (5, 6)[/tex]
[tex]\text{Rate of change of function} = \dfrac{6-0}{5-(-1)}=\dfrac{6}{6} = 1[/tex]
Now, if we take a look at the general equation of the line(y=mx+c), and compare it with the function, y=2x+5, then the slope of the line is 2.
Hence, the rate of change in the function Y = 2X +5 is greater than the rate of change of the function represented in the table.
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