According to an Insurance Company, the percentage of accidents caused by teenagers texting while driving stood at 11.3% at the end of 2014. At the end of 2020, the company registered that this number increased to 19.2%.

a) Find a linear function f(t) giving the percentage of accidents caused by teenagers texting while driving in year t, where t = 0 corresponds to the end of 2014.

b) At what rate was the percentage of accidents caused by teenagers texting while driving increasing between 2014 and 2020?

c) If the trend continues, what will be the percentage of accidents caused by teenagers texting while driving at the end of 2022?