Home > A2C > Chapter 10 > Lesson 10.1.1 > Problem10-13

10-13.

Rondal High School had a student enrollment of $1245$ in 2005, $1328$ in 2006, and $1413$ in 2007. School officials predicted that the 2008 enrollment would be $1505$. The capacity of the school is $1800$ students.

1. Graph this data. Determine the line of best fit and write a possible equation for that line.

To find the line of best fit, either use your graphing calculator or plot the points and draw a line that passes through them.

2. What do the slope and y-intercept of the line represent?

The slope represents the number of new students per year. The y-intercept might represent the number of students enrolled when the school opened.

3. Based on this information, when do you predict that the school will reach its capacity?

Use the line of best fit that you found in part (a) to predict this.

4. According to your graph and data, estimate the enrollment of Rondal High in the year 2000.

See part (c).

5. When do you think that Rondal High was built? Explain your thinking.

The equation will not necessarily help answer this. The school would not have opened with zero students.