The adult population of a town is 25 000 at the beginning of 2012. A model predicts that the adult population of the town will increase by 2% each year, forming a geometric sequence.

a. Show that the predicted population at the beginning of 2014 is 26 010. The model predicts that after n years, the population will first exceed 50 000.

b. Show that

c. Find the year in which the population first exceeds 50 000.

d. Every member of the adult population is modelled to visit the doctor once per year. Calculate the number of appointments the doctor has from the beginning of 2012 to the end of 2019.

e. Give a reason why this model for doctors’ appointments may not be appropriate.

Transcribed Image Text:

V n> log2 log1.02