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8 June, 06:09

Using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation

10.0y - 4.55x = 581

where x is the number of years after 2000.

In what year is the population predicted to be 71.75 million?

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  1. 8 June, 07:32
    0
    In year 2030 the population is predicted to be 71.75 million

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - Using data from 2010 and projected to 2020, the population of

    the United Kingdom (y, in millions) can be approximated by the

    equation 10.0 y - 4.55 x = 581

    - x is the number of years after 2000

    - We need to know in what year the population is predicted to be

    71.75 million

    * Lets substitute the value of y in the equation by 71,75

    ∵ The equation of the population is 10.0 y - 4.55 x = 581

    ∵ y = 71.75

    ∴ 10.0 (71.75) - 4.55 x = 581

    ∴ 717.5 - 4.55 x = 581

    - Subtract 717.5 from both sides

    ∴ - 4.55 x = - 136.5

    - Divide both sides by - 4.55

    ∴ x = 30

    ∵ x represents the number of years after 2000

    ∵ 2000 + 30 = 2030

    ∴ In year 2030 the population is predicted to be 71.75 million
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