There were 286,200 graphic designer jobs in a country in 2010. It has been projected that there will

Discussion in 'Calculator Requests' started by math_celebrity, Mar 30, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    There were 286,200 graphic designer jobs in a country in 2010. It has been projected that there will be 312,500 graphic designer jobs in 2020. (a) Using the data, find the number of graphic designer jobs as a linear function of the year.

    Figure out the linear change from 2010 to 2020
    Number of years = 2020 - 2010
    Number of years = 10

    Figure out the number of graphic designer job increases:
    Number of graphic designer job increases = 312,500 - 286,200
    Number of graphic designer job increases = 26,300

    Figure out the number of graphic designer jobs added per year
    Graphic designer jobs added per year = Total Number of Graphic Designer jobs added / Number of Years
    Graphic designer jobs added per year = 26,300 / 10
    Graphic designer jobs added per year = 2,630

    Build the linear function for graphic designer jobs G(y) where y is the year:
    G(y) = 286,200 + 2,630(y - 2010)

    Multiply through and simplify:
    G(y) = 286,200 + 2,630(y - 2010)
    G(y) = 286,200 + 2,630y - 5,286,300
    G(y) = 2,630y - 5,000,100
     

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