X and y coordinates changing at the same rate?

[koreangirl195]

x and y coordinates changing at the same rate??

Homework Statement

Mark is watching a bug traveling along a countertop in his home. THe bug is wandering along the curve y=x+3x-1. Mark wants to dispose of the bug, but before he does, he is curious to learn at which points on the bug's path are the x- and y- coordinates of the bug changing at the same rate. Help Mark.

Homework Equations

Related Rates? or Optimization?

The Attempt at a Solution

I tried finding the derivative and using chain rule but that didnt really help me understand

:(

 

[thrill3rnit3]

If the x and y coordinates are changing at the same rate, what does that tell you about dy/dt and dx/dt?

 

[Mark44]

Is there a typo in the curve the bug travels? y=x+3x-1. Should this be y = x² + 3x -1?