Fixed charge and per-kilogram rate

Fixed charge and per-kilogram rate

Secondary 2
TGM Original Questions

A courier's charge \(C\) dollars for a parcel of mass \(m\) kg is modelled by \(C=c+dm\). A \(3\) kg parcel costs \(\$11\) and an \(8\) kg parcel costs \(\$21\).

  1. Using the given information, write down two equations connecting \(c\) and \(d\).
  2. Solve the equations obtained in (i) to find \(c\) and \(d\).
  3. Find the mass \(k\) of a parcel that costs \(\$29\).
  4. State what the value of \(c\) represents in this model.

Solution:

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Answer:\(c=5\), \(d=2\), \(k=12\) kg; \(c\) is the fixed charge before the mass-dependent fee.

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