Question

mr yonaki's first year of college was back in 2001 when college inflation was at 390% last year in 2020, college tuition inflation was at 1,180%, we think of the years as our x-values and the percent of inflation as our y-values, find the average rate of change in college tuition from 2001 to 2020.

Answer 1

To solve this problem, we will calculate the average rate of change as follows. Given two points (a,f(a)) and (b,f(b)). The average rate of change would be

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

In our case, we are given the points (2001,390%) and (2020, 1180%). So, in this case we have

f(2001)=390% and f(2020)=1180%. So, the average rate of change would be

`(1180-390)/(2020-2001)=(790)/(19)=41.578947`

This means that the average rate of change is approximately 41.58% per year.