# Population growth model for Austin, TX

In 1990, the population of Austin, Texas, was 494,290. During the next 10 years, the population increased by about 3% each year.

A. Write a model (equation) showing the population, P, in thousands of Austin t years after 1990.

B. What was the population in 2000? Show your work.

C. Estimate the year when the population was about 590,000.

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#### Solution Preview

In 1990, the population of Austin, Texas, was 494, 290. During the next 10 years, the population increased by about 3% each year.

A. Write a model (equation) showing the population, P, in thousands of Austin t years after 1990.

P(t) = initial population * (1 + rate) ^ (years since initial population)

P(t) = 494,290 * (1 + .03) ^ (t - 1990)

P(t) = ...

#### Solution Summary

Complete answers and step-by-step explanation is given in the attached Word document, demonstrating the model for the population, and calculations for the population.