Final answer:
To find the projected per capita health care expenditures for 2010 using the equation y = 343x + 4512, we substitute 10 for x to get y = 343(10) + 4512, which equals $7,942.
Step-by-step explanation:
The student has asked for the calculation of projected per capita health care expenditures for the year 2010 using the given linear equation y = 343x + 4512, where x is the number of years after the year 2000. To find the expenditures for 2010, we need to substitute x with the number of years from 2000 to 2010, which is 10 years.
So the calculation will be as follows:
y = 343(10) + 4512
y = 3430 + 4512
y = 7942
Thus, the projected per capita health care expenditures for 2010 would be $7,942.