Chapter 11.3, Problem 7MCQ

To determine

To find: The population of the Houston in 2014.

Answer to Problem 7MCQ

The expected population is $2079646$ .

Explanation of Solution

Given:

The population in 1990 is 1637859 and in 1998 it is 1786691.

Calculation:

Consider the formula to determine the growth rate is,

  $r=\sqrt{\frac{N}{N_0}}-1$

Then,

  $\begin{array}{c}r=\sqrt{\frac{1786691}{1637859}}-1\\ =0.01\end{array}$

Then, the expected population in 2014 is,

  $N=N_0{\left(1+r\right)}^t$

Then,

  $\begin{array}{c}N=1637859{\left(1+0.01\right)}^{24}\\ =2079646\end{array}$