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Algebra, STD2 EQ-Bank 06 MC

The cost (\(C\)) of printing flyers varies directly with the number of flyers (\(n\)) printed.

A printing company charges $45 to print 300 flyers.

What is the value of the constant of variation (\(k\))?

  1. \(\dfrac{1}{15}\)
  2. \(\dfrac{3}{20}\)
  3. \(\dfrac{20}{3}\)
  4. \(15\)
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\(B\)

Show Worked Solution

\(C \propto n\)

\(C=kn\)

\(\text{When } C = 45 \text{ and } n = 300:\)

\(45\) \(=k \times 300\)
\(k\) \(=\dfrac{45}{300}\)
\(k\) \(=\dfrac{3}{20}\)

  
\(\Rightarrow B\)