# algebra

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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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