question 8 of 10\nattempt 5\ncalculate the average growth rate per year in enrollments over the two periods…

question 8 of 10\nattempt 5\ncalculate the average growth rate per year in enrollments over the two periods 1965 - 1968 and 2002 - 2006. note that the time periods are not of the same length.\n(give your answer as whole numbers.)\naverage growth from 1965 to 1968: enrollments per year\naverage growth from 2002 to 2006: enrollments per year

question 8 of 10\nattempt 5\ncalculate the average growth rate per year in enrollments over the two periods 1965 - 1968 and 2002 - 2006. note that the time periods are not of the same length.\n(give your answer as whole numbers.)\naverage growth from 1965 to 1968: enrollments per year\naverage growth from 2002 to 2006: enrollments per year

Answer

Explanation:

Step1: Identify values for 1965 - 1968

In 1965, enrollment is 975777 and in 1968 is 1067217. The time - period is 1968 - 1965=3 years.

Step2: Calculate average growth for 1965 - 1968

The formula for average growth rate is $\frac{\text{Final value}-\text{Initial value}}{\text{Number of years}}$. So, $\frac{1067217 - 975777}{3}=\frac{91440}{3}=30480$.

Step3: Identify values for 2002 - 2006

In 2002, enrollment is 1347036 and in 2006 is 1522770. The time - period is 2006 - 2002 = 4 years.

Step4: Calculate average growth for 2002 - 2006

Using the formula $\frac{\text{Final value}-\text{Initial value}}{\text{Number of years}}$, we have $\frac{1522770-1347036}{4}=\frac{175734}{4}=43933.5\approx43934$.

Answer:

average growth from 1965 to 1968: 30480 average growth from 2002 to 2006: 43934