Ben starts walking along a path at 4 mi/h. one and a half hours after ben leaves, his sister amanda begins jogging along the same path at 6 mi/h. how long will it be before amanda catches up to ben?

After 3 hours Amanda catch up to Ben.

Explanation:

 Speed of Ben = 4 mi/h

 Speed of Amanda = 6 mi/h

 Time after Amanda starts after Ben leaves = 1.5 hours.

 Let the time taken for them to catch up be t hours.

 Distance traveled by Ben in time (t+1.5) =  4*(t+1.5)

 Distance traveled by Amanda in time t = 6*t

 Equating both the distances

     4*(t+1.5)=  6*t

     2t = 6

       t = 3 hours

    So after 3 hours Amanda catch up to Ben.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.