Question

which is the rate of change of the function described in the table?
12/5
5
25/2
25

Answer 1

Answer: 5

Rate of change=slope=rise/run=change in y/change in x

Rate of change=(5/2-1/2)/(1-0)=5

Answer 2

Answer:

The rate of change of the function described in the table is:

                      $\dfrac{2}{5}$

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:

$\text{Rate\ of\ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{10}}{0-(-1)}\\\\\text{Rate\ of\ change}=\dfrac{\dfrac{5-1}{10}}{1}\\\\\text{Rate\ of\ change}=\dfrac{4}{10}\\\\\text{Rate\ of\ change}=\dfrac{2}{5}$