X and y coordinates changing at the same rate?

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SUMMARY

Mark is investigating the motion of a bug along the curve defined by the equation y = x + 3x - 1. He seeks to determine the points where the x and y coordinates change at the same rate. The discussion highlights the need for applying related rates and potentially correcting the curve equation to y = x² + 3x - 1 for accurate analysis. The derivative and chain rule are essential tools for solving this problem.

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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

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


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

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