SOLUTION: I need help with this problem:
POPULATION DENSITY The population density D (in people/mi^2)in a large city is related to the distance x from the center of the city by D=5000x/(x
Algebra.Com
Question 377700: I need help with this problem:
POPULATION DENSITY The population density D (in people/mi^2)in a large city is related to the distance x from the center of the city by D=5000x/(x^2+36). In what areas of the city does the population density exceed 400people/mi^2?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
substitute and solve for x ___ 400 < 5000x /(x^2+36)
400x^2 + 14400 < 5000x
2x^2 - 25x + 72 < 0
factoring ___ (2x - 9)(x - 8) < 0
if x < 4.5 , both factors are < 0 , so the product is >0
if x > 8 , both factors are >0 , so the product is >0
4.5 < x < 8
if you think about real life , businesses would be concentrated in the city center
with people living farther out , but becoming less populated into the suburbs
RELATED QUESTIONS
***I need the steps to solve this problem by Sunday*** Please HELP!!!
POPULATION... (answered by nerdybill)
Suppose the population density in the Wichita, Kansas, area is related to the distance... (answered by jim_thompson5910)
The city of Atlanta has a population of about 420,003 and an area 133 square miles. What... (answered by Theo)
The population density 'P' of a city depends on the radius chosen from the centre of the... (answered by Fombitz)
What is the population density of a city with 425,000 people in 1,872 square miles?... (answered by vleith)
What is the population density of a city with 425,000 people in 1,872 square miles?... (answered by stanbon)
In 1982 the population density of a country was 64 people per square mile, and in 2002 it (answered by ikleyn)
Solve the given problem related to population growth.
The population of a city grows... (answered by fractalier)
Need of help, I do not have an ISBN number due to being an online course.
A researcher... (answered by stanbon)