Question

Calculate the average rate of change for the data set

Answer 1

Given -

Table

To Find -

Rate of change for the data set​ =?

Step-by-Step Explanation -

We know the formula for rate of change =

`=\text{ }(\Delta y)/(\Delta x)\text{ = }\frac{y_2\text{ - y}_1}{x_{2\text{ - }}x_1}`

So, Here

`\begin{gathered} y_1\text{ = 1, y}_2\text{ = 22} \\ x_1\text{ = 0, x}_2\text{ = 6} \\ \\ Now,\text{ Putting it in the formula, we get - } \\ \\ \frac{22\text{ - 1}}{6\text{ - 0 }}\text{ = }(21)/(6)\text{ = 3.5} \end{gathered}`

Final Answer -

Rate of change for the data set​ = 3.5