Answer:
The rate of change of the function described in the table is:
[tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
We know that the rate of the change is the ratio of the change in the y-values to the change in the x-values.
The table of values are as follows:
x y
-1 1/10
0 1/2
1 5/2
2 25/2
3 125/2
The rate of change is calculated as follows:
[tex]\text{Rate\ of\ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{10}}{0-(-1)}\\\\\text{Rate\ of\ change}=\dfrac{\dfrac{5-1}{10}}{1}\\\\\text{Rate\ of\ change}=\dfrac{4}{10}\\\\\text{Rate\ of\ change}=\dfrac{2}{5}[/tex]
