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The length \(L\) of a spring (in cm) depends linearly on the mass \(m\) attached to it (in kg).
  • When no mass is attached (\(m=0\)), the spring is 15 cm long.
  • When a 4 kg mass is attached, the spring is 23 cm long.
  1. Find the equation of the linear model \(L(m) = am + b\).
  2. Interpret the meaning of the parameter \(a\) in this context.
  3. Calculate the mass required to stretch the spring to 30 cm.

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