The table shows the numbers of executions in the U.S. for selected years from 1990 to 2007.

Modeling U.S. executionsThe table shows the numbers of executions in the U.S. for selected years from 1990 to 2007.YearNumberYearNumber199023200085199231200166199431200365199645200560199868200742(a) With x as the number of years past 1990, find a cubic model for these data.(b) Find the year when the number of executions was maximum, according to the model.