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23 February, 23:38

The quadratic function f (x) = - 45x ^ 2 + 350x + 1.590mo models the population of a city, where x is the number of years after 2005 and f (x) the population of the city in thousands of people. What the estimated population of the city in 2015?

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  1. 24 February, 00:24
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    Population in year 2015 is 590 thousand people.

    Step-by-step explanation:

    Quadratic function that represents the population is

    f (x) = - 45x² + 350x + 1590

    Here x = number of years after 2005

    f (x) = Population of the city (in thousands)

    We have to calculate the population of the city in year 2015.

    So, duration or number of years from year 2005 = 2015 - 2005 = 10 years

    Now we plug in the value x = 10 in the formula

    f (10) = - 45 (10) ² + 350 (10) + 1590

    = - 4500 + 3500 + 1590

    = 590 thousand people

    Therefore, population in year 2015 is 590 thousand people.
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