The cumulative number of car accidents from 2000 to 2010 can be modeled by the quadratic expression, C=-43x^2 + 1720x + 14,663, where x=1 corresponds to 2000, x=2 corresponds to 2001, and so on until x=11 corresponds to 2010.
(a) Find the number of cumulative car accidents in 2005.
(b) Use a table of values to estimate the year in which the cumulative number of car accidents reached 19,400.

Question

The cumulative number of car accidents from 2000 to 2010 can be modeled by the quadratic expression, C=-43x^2 + 1720x + 14,663, where x=1 corresponds to 2000, x=2 corresponds to 2001, and so on until x=11 corresponds to 2010. 
(a) Find the number of cumulative car accidents in 2005.
(b) Use a table of values to estimate the year in which the cumulative number of car accidents reached 19,400.