### Home > APCALC > Chapter 1 > Lesson 1.5.1 > Problem1-197

1-197.

The population of Smalltown on January 1st for $5$ years is shown in the table at right.

1. Write a slope statement for the given data.

The slope is always positive and getting steeper.

2. Calculate the average rate of change per year in the population between 2011 and 2015.

The average rate of growth is the change in people divided by the years that passed.

$\frac{2796-2300}{4}=124\frac{\text{people}}{\text{year}}$

3. Approximate the rate of change of the population on January 1st, 2014. Explain how you got your answer.

Find the average rate of population increase between 2013 and 2015.

 2011 $2300$ 2012 $2415$ 2013 $2536$ 2014 $2663$ 2015 $2796$