Given:
The distance y (in meters) that runner A travels on a track in x minutes is represented by the equation
[tex]y=130x[/tex]
To find:
How many meters per minute is runner A traveling.
Solution:
We have,
[tex]y=130x[/tex] ...(i)
Where, y is the distance in meters and traveling x minutes.
We need to find the slope of the above equation to find the number of meters traveling by the runner per minute.
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=130[/tex]
Therefore, the runner is traveling 130 meters per minute.