Rate of change is the change in a particular variable, over another variable.
The rate of change is: 3/16 miles per minutes
To calculate the rate of change, we select any two points on the table (see attachment)
[tex](x_1,y_1) = (2,\frac 16)[/tex]
[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]
The rate of change (m) is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]
[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]
[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]
Take LCM
[tex]m = \frac{17- 8}{48}[/tex]
[tex]m = \frac{9}{48}[/tex]
Reduce fraction
[tex]m = \frac{3}{16}[/tex]
Hence, the rate of change is: 3/16 miles per minutes
Read more about rates of change at:
https://brainly.com/question/13103052
