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The quadratic function f (x) = - 45x2 + 350x + 1,590 models the population of a city where x represents the number of years since 2005 and f (x) is the population of the city in thousands of people. What is the estimated population of the city in 2010?

Respuesta :

JeanaShupp

Answer: 2,215,000

Step-by-step explanation:

Given: The quadratic function [tex]f (x) = - 45x^2 + 350x + 1,590[/tex] models the population of a city where x represents the number of years since 2005.

To Find:  population of the city in 2010

We need to put x= 2010-2005 = 5

[tex]f (5) = - 45(5)^2 + 350(5) + 1,590\\\\=-1125+1750+1590 =2215[/tex]

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

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