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illjazz
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Homework Statement
In this exercise we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metropolitan area. In 1999, the population of this area was 961,400, and the population was increasing at roughly 9200 people per year. The average annual income was $30,593 per capita, and this average was increasing at about $1400 per year (a little above the national average of about $1225 yearly). Use the Product Rule and these figures to estimate the rate at which total personal income was rising in the Richmond-Petersburg area in 1999. Explain the meaning of each term in the Product Rule.
Homework Equations
Product Rule: (fg)' = fg' + gf'
The Attempt at a Solution
I haven't gotten very far at all. I've taken all the figures given and written them out into a table, like so:
year: 1999
population: 961,400
population growth: 9200 people/year
avg. annual income per capita: $30,593
avg. income growth: $1400/year
national avg. income growth: $1225/year
So that's what's given. I'm told I need to use the Power Rule, which I understand. What I do not understand is where to begin. I tried to see what f(x) and g(x) will be here but can't wrap my head around it.
Pointers would be appreciated. Thanks!