Final answer:
The population of San Jose in the year 2010 can be calculated using the formula for exponential growth. The expression for the population is 2,744,298.
Step-by-step explanation:
To find the population of San Jose in the year 2010, we need to calculate the growth over the 30-year period from 1980 to 2010. Since the population grows at a constant rate of 5% per year, we can use the formula:
Population = Initial Population x (1 + Growth Rate)^Number of Years
Substituting the given values, we have:
Population = 782,000 x (1 + 0.05)^30 = 782,000 x 1.05^30 = 2,744,298
Therefore, the expression for the population of San Jose in the year 2010 is: 2,744,298