Chapter 4 - Exponential Functions - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 146: 29

$P(t) = 70\cdot (1.019)^t $

The problem describes an exponential function with the following parameters. \begin{equation} \begin{aligned} a&= 70\\ r&= 1.9\% = 0.019\\ b&=1+r = 1.019\\ \end{aligned} \end{equation} Hence, a model of the population of the country in 2014 is \begin{equation} \begin{aligned} P(t)&= a\cdot b^t\\ &= 70\cdot (1.019)^t\\ \end{aligned} \end{equation}