Direct and Inverse Proportion

Direct and Inverse Proportion

Secondary 2

A printing shop charges a fixed setup fee plus a constant price per poster.

\(20\) posters cost $34.
\(50\) posters cost $70.

A student claims that total cost is directly proportional to the number of posters.

  1. Use the data to show that the claim is false.

  2. Find the price per poster and the setup fee.

  3. Find the cost of \(80\) posters.

  4. Explain why increasing the order from \(20\) to \(40\) posters does not double the total cost.

Solution:

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Answer:(a) Ratios \(1.7\ne1.4\); (b) \(\$1.20\) per poster, \(\$10\) setup; (c) \(\$106\); (d) Setup fee is paid once.

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