123k views
5 votes
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?

User Rosta
by
8.0k points

2 Answers

3 votes
165,000 = 55,000 sqrt x - 1945

find x:-

55000 sqrt x = 166945
sqrt x = 166945/55000 = 3.035

x = 9.2

so required year = 1945 + 9 = 1954

User Jos Van Weesel
by
8.0k points
3 votes

Answer:

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

Explanation:

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


(165000)/(55000)=√(x-1945)


3=√(x-1945)

Squaring both side,


3^2=(√(x-1945))^2


9=x-1945


x=1945+9


x=1954

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

User Nekomimi
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.