Mathematics: You can model the population of a certain city between 1945-2000 by the radical function p(x)=55,000√x-1945. using this model in which year was the population of that city 165,000?

Step-by-step explanation:It’s a parallelogram...

You can model the population of a certain city between

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06.01.2022

In 1954 the population of the city became 165,000.

Step-by-step explanation:

Given : You can model the population of a certain city between 1945-2000 by the radical function $p(x)=55,000\sqrt{x-1945}$

To find : Using this model in which year was the population of that city 165,000?

Solution : The model of the function is

$p(x)=55,000\sqrt{x-1945}$

where p(x) is the population and x is the time (in years)

To find the year in which population reach 165,000

p(x)= 165,000, substitute the value in p(x)

$165000=55000\sqrt{x-1945}$

$\frac{165000}{55000}=\sqrt{x-1945}$

$3=\sqrt{x-1945}$

Squaring both side,

$3^2=(\sqrt{x-1945})^2$

9=x-1945

x=1945+9

x=1954

So, In 1954 the population of the city became 165,000.

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