A company selling widgets has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=400004p+1\displaystyle {x}=\frac{{40000}}{\sqrt{{{4}{p}+{1}}}}

Due to inflation and increasing health benefit costs, the company has been increasing the price by $3 per month. Find the rate at which revenue is changing when the company is selling widgets at $170 each.

  dollars per month