### Home > CCA > Chapter 7 > Lesson 7.1.6 > Problem7-73

7-73.

The U.S. Census Bureau takes a census every $10$ 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.

1. How many people would the Census Bureau have expected to count in the $2005$ census?

$y = 281.4\left(1.02\right)^{5}$
$310.7$ million people

2. If the Census Bureau had conducted a count in $2010$, how many people would it have expected to count?

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

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

Is this less than or greater than the expected amount?
What does that tell you about the population growth?

The residual is $-34$ million. Population growth has slowed.