### Home > CC4 > Chapter 8 > Lesson 8.1.6 > Problem 8-83

The U.S. Census Bureau takes a census every ten years. The population in 2000 was estimated at 281.4 million people. A model created at the time predicted that the population grew at about 2% per year. Homework Help ✎

If the Census Bureau had conducted a count in 2005, how many people would it have expected to count?

Using the model, how many people would the Census Bureau have expected to count in the 2010 census?

The actual 2010 census put the population at 309 million people. What is the residual? What does it mean?

Write an exponential equation to help you solve this problem.

*y* = 281.4(1.02)^{5}*y* = 310.7 million people

Refer to part (a), but change it to fit this situation.

Is this less than or greater than the expected amount?

What does that tell you about the population growth?