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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 :

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

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

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

[tex]\frac{1180-390}{2020-2001}=\frac{790}{19}=41.578947[/tex]

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

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