In 1999, the population of the metropolitan area was 987300 and it was increasing at roughly 10000 people per year. The average annual income was $29001 per capita, and this average was increasing at about $1300 per year.

The total personal income is equal to the product of the per capita personal income and the total population. Initially this is equal to 987300*29001. This increases to (987300+10000)*(29001+1300).

The difference of the two values is the increase in the total personal income and is equal to 987300*1300+10000*29001+10000*1300.

The rate of increase is 987300*1300+10000*29001+10000*1300 divided by 987300*29001

This is approximately equal to 0.05540 or 5.540%

**The rate of increase in the total personal income is 5.540%**