Question

What is the average rate of increase in enrollment
per
decade between 1950 and 2000?

Answer 1

Given:

The graph that represents the enrollment for college R between 1950 and 2000.

To find:

The average rate of increase in enrollment per decade between 1950 and 2000?

Solution:

The average rate of change of function f(x) over the interval [a,b] is:

`m=(f(b)-f(a))/(b-a)`

So, the average rate of increase in enrollment per year between 1950 and 2000 is:

`m=(f(2000)-f(1950))/(2000-1950)`

`m=(7-4)/(50)`

`m=(3)/(50)`

`m=0.06`

It is given average rate of increase in enrollment per year between 1950 and 2000 is 0.06.

We need to find the average rate of increase in enrollment per decade between 1950 and 2000, So, multiply the average rate of increase in enrollment per year by 10.

`0.06* 10=0.6`

Therefore, the average rate of increase in enrollment per decade between 1950 and 2000 is 0.6.