Question

Try It #2

A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was36,800. Assume this trend continues.
b. Identify the year in which the population will reach 54,000.

Answer 1

The year in which population will be 54000, is 2020.

Explanation:

In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .

It is required to identify the year in which population will be 54000 . equation.

Step 1 of 2

The population in 2008 was 28200 and in 2012 it was, 36800 .

The equation relating population and year is,

`$$\begin{aligned}&y-28200=\left((36800-28200)/(2012-2008)\right)(x-2008) \\&y-28200=\left((8600)/(4)\right)(x-2008) \\&y-28200=2150(x-2008)\end{aligned}$$`

Step 2 of 2

The year in which population will be 54000 , can be determined by substituting 54000 for y,

`54000-28200=2150(x-2008)$\\ $25800=2150(x-2008)$\\ $x-2008=12$\\ $x=2020$`