Final answer:
The per capita spending for health care in 8 years, with an 8 percent annual increase from $10,000, would be $18,509.30, calculated using the compound interest formula.
Step-by-step explanation:
To calculate the amount of per capita spending for health care in 8 years with an annual increase of 8 percent, we use the formula for compound interest: Future Value = Present Value x (1 + rate)^number of periods. Here, the present value is $10,000, the rate is 0.08 (8 percent), and the number of periods is 8 years.
Future Value = $10,000 x (1 + 0.08)^8
Future Value = $10,000 x (1.08)^8
Future Value = $10,000 x 1.85093
Future Value = $18,509.30
Therefore, the per capita spending for health care in 8 years would be $18,509.30.