Mathematics: use the quadratic regression feature of a graphing calculator to find a quadratic model. round to the nearest thousandths.

use the quadratic regression feature of a graphing

genyjoannerubiera

14.03.2020

Given:

A city's population has increased 40% in the last 5 years and is now 53,782 people.

To find:

The population 5 years ago.

Solution:

Let x be the population 5 years ago.

A city's population has increased 40% in the last 5 years.

So, present population is

$x+x\times \dfrac{40}{100}=x+0.4x=1.4x$

It is given that the present population is 53782.

1.4x=53782

$x=\dfrac{53782}{1.4}$

x=38415.7142857

$x\approx 38416$

Therefore, the population 5 years ago was about 38416.

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