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March 29, 2017

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The length of a spring is a linear function of the mass of the object hanging from it. For a particular spring, the length was 12 centimeters when a 2-kg mass was attached to it. When a 5-kg mass was hung from it, it stretched to a length of 18 cm. Which equation relates the length of this spring, y, to the number of kilograms hung from it, x?

  • algebra - ,

    if the length y is a function of the mass, x, then

    y = ax+b

    2a+b = 12
    5a+b = 18
    subtract 1st from 2nd to get
    3a = 6
    a = 2

    2*2+b=12, so b=8

    y = 2x+8

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