Below is data reflecting the population of Cairo, Egypt every ten years for the past 70 years. Population is given in millions. Years are given in "years since 1950"
𝑡
0
10
20
30
40
50
60
70
Population
2.5
3.7
5.6
7.3
9.9
13.6
16.9
20.9
Assume that the population of Cairo over this time period may be well modelled by an exponential function. Use a graphing calculator/Desmos to determine a suitable function.
Based on the model, predict the population of Cairo in the year 2015 (𝑡=65).
Based on the model, predict the value of 𝑡 corresponding with a population of 8 million.