The runner's speed is 10 minutes per mile and it can be determine by using the information given in the graph and also using the slope formula.
Given :
- Points from the given graph - (1,10), (2,20).
- x- axis shows distance in miles.
- y - axis shows time in minutes.
Slope formula can be use to find the slope of the line given in the graph.
[tex]\rm Slope = \dfrac{y_2-y_1}{x_2-x_1}[/tex] ----- (1)
where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are any points on the line.
Now, put the value of [tex]\rm x_1,\;x_2,\;y_1,\;and\;y_2[/tex] in equation(1).
[tex]\rm Slope =\dfrac{20-10}{2-1}[/tex]
[tex]\rm Slope = 10[/tex]
Therefore the runner's speed is 10 minutes per mile.
For more information, refer the link given below:
https://brainly.com/question/18666670
