(Step-by-Step) PUBLIC TRANSPORTATION After x weeks, the number of people using a new rapid transit system was approximately N(x)=6 x^3+500 x+8,000. At what


Question: PUBLIC TRANSPORTATION After \(x\) weeks, the number of people using a new rapid transit system was approximately \(N(x)=6 x^{3}+500 x+8,000\).

  1. At what rate was the use of the system changing with respect to time after 8 weeks?
  2. By how much did the use of the system change during the eighth week?

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