41) The number of doctorate degrees awarded in electrical engineering in the United States from 2000 to 2015 can be modeled by y = 45x + 1327, where x represents the number of years after 2000, and y represents the number of doctorate degrees awarded. The actual data are graphed here. ( www.nsf.gov) Number of Electrical Engineering Doctorates Awarded in the U.S. 2100 2000 1900 1800 Number 1700 1600 + 1500 1400 1300 DX 2000 2005 2010 2015 Year a) From the graph, estimate the number of electrical engineering doctorates awarded in 2005 and 2015. b) Determine the number of degrees awarded during the same years using the equation. Are the numbers close? Page 259