Statistics Solutions

[Steps Shown] AIR POLLUTION It is estimated that t years from now, the population of a certain suburban community will be p(t)=20-(6)/(t+1) thousand. An

Question: AIR POLLUTION It is estimated that \(t\) years from now, the population of a certain suburban community will be \(p(t)=20-\frac{6}{t+1}\) thousand. An environmental study indicates that the average daily level of carbon monoxide in the air will be \(c(p)=0.5 \sqrt{p^{2}+p+58}\) parts per million when the population is \(p\) thousand.

  1. At what rate will the level of carbon monoxide be changing with respect to population when the population is 18 thousand people?
  2. At what rate will the carbon monoxide level be changing with respect to time 2 years from now? Will the level be increasing or decreasing at this time?

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