If you used your answer to Exercise 36 as the annual (simple...

If you used your answer to Exercise 36 as the annual (simple interest) rate at which the population was growing since 1950 , what would you predict the San Diego County population to be in $2010 ?$

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Key Concepts

Simple Interest

Simple interest is a method of calculating increase where the change (or interest) is linearly proportional to the original amount and the elapsed time. In growth problems like population increase, the same rate is applied to the initial quantity for every unit of time, leading to a straight-line (linear) increase over time.

Population Extrapolation

Population extrapolation is the process of estimating future population sizes by applying a known growth rate to an initial population over a defined period. When using a simple interest model, the population is predicted by adding a constant annual increase to the original value, based on the growth rate and the total number of years elapsed.

Annual Growth Rate

The annual growth rate represents the yearly percentage increase in a quantity. It is a key parameter in determining how much a population or investment will grow over a specified time frame, and when applied as a simple interest rate, the total increase is the product of the rate, initial amount, and the number of years.

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