5. The Violent Crime Rate in the U.S. (per 100,000 inhabitants) from 2004 to 2010 can be modeled by the quadratic function C(t)=-4.31t2 + 16.2t+ 461.51 where t represents the years since 2004 (data source: https://ucr.fbi.gov/). Show complete work for the questions below. Write your answers in complete sentences. (a) Find the Violent Crime Rate per 100,000 U.S. inhabitants in 2004. (b) Find the Violent Crime Rate per 100,000 U.S. inhabitants in 2008. (c) In what year was the Violent Crime Rate per 100,000 U.S. inhabitants be 470? (d) In what year was the Violent Crime Rate per 100,000 U.S. inhabitants a maximum?