Question

average growth rate from 1995 to 1998: -2.1 thousand students enrolled per year
average growth rate from 1998 to 2002: 1 thousand students enrolled per year
average growth rate from 2002 to 2006: 1.58 thousand students enrolled per year
average growth rate from 2006 to 2009: thousand students enrolled per year

Explanation:

To calculate the average growth rate from 2006 to 2009, we need the number of students enrolled in 2006 and 2009. Since the problem statement is incomplete (the enrollment numbers for these years are not provided), we can't proceed with the calculation.

If we assume we have the enrollment numbers (let's say \( E_{2006} \) and \( E_{2009} \)):

Step 1: Determine the time period

The number of years between 2006 and 2009 is \( 2009 - 2006 = 3 \) years.

Step 2: Calculate the total change in enrollment

The total change in the number of students (in thousands) is \( \Delta E = E_{2009} - E_{2006} \).

Step 3: Calculate the average growth rate

The average growth rate (in thousands of students per year) is given by the formula:
\[
\text{Average growth rate} = \frac{\Delta E}{\text{Number of years}} = \frac{E_{2009} - E_{2006}}{3}
\]

For example, if \( E_{2006} = 100 \) (thousand students) and \( E_{2009} = 106 \) (thousand students):

Step 1: Time period

\( 2009 - 2006 = 3 \) years.

Step 2: Total change

\( \Delta E = 106 - 100 = 6 \) (thousand students).

Step 3: Average growth rate

\[
\text{Average growth rate} = \frac{6}{3} = 2
\]

But without the actual enrollment numbers for 2006 and 2009, we can't provide a numerical answer. Please provide the enrollment numbers for these years to complete the calculation.

Answer:

To calculate the average growth rate from 2006 to 2009, we need the number of students enrolled in 2006 and 2009. Since the problem statement is incomplete (the enrollment numbers for these years are not provided), we can't proceed with the calculation.

If we assume we have the enrollment numbers (let's say \( E_{2006} \) and \( E_{2009} \)):

Step 1: Determine the time period

The number of years between 2006 and 2009 is \( 2009 - 2006 = 3 \) years.

Step 2: Calculate the total change in enrollment

The total change in the number of students (in thousands) is \( \Delta E = E_{2009} - E_{2006} \).

Step 3: Calculate the average growth rate

The average growth rate (in thousands of students per year) is given by the formula:
\[
\text{Average growth rate} = \frac{\Delta E}{\text{Number of years}} = \frac{E_{2009} - E_{2006}}{3}
\]

For example, if \( E_{2006} = 100 \) (thousand students) and \( E_{2009} = 106 \) (thousand students):

Step 1: Time period

\( 2009 - 2006 = 3 \) years.

Step 2: Total change

\( \Delta E = 106 - 100 = 6 \) (thousand students).

Step 3: Average growth rate

\[
\text{Average growth rate} = \frac{6}{3} = 2
\]

But without the actual enrollment numbers for 2006 and 2009, we can't provide a numerical answer. Please provide the enrollment numbers for these years to complete the calculation.