Given -
Table
To Find -
Rate of change for the data set =?
Step-by-Step Explanation -
We know the formula for rate of change =
[tex]=\text{ }\frac{\Delta y}{\Delta x}\text{ = }\frac{y_2\text{ - y}_1}{x_{2\text{ - }}x_1}[/tex]So, Here
[tex]\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{ = }\frac{21}{6}\text{ = 3.5} \end{gathered}[/tex]Final Answer -
Rate of change for the data set = 3.5
