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Algebra, STD2 EQ-Bank 4 MC

\(d\) varies directly with \(h\) and it is known that  \(d=1.2\)  when  \(h=5\).

The value of \(h\) when  \(d=48\)  is

  1. \(11.52\)
  2. \(57.6\)
  3. \(200\)
  4. \(240\)
Show Answers Only

\(C\)

Show Worked Solution

\(d \propto h \ \ \Rightarrow \ \ d=k \times h\)

\(\text{Find \(k\) given \(\ d=1.2\)  when \(\ h=5\):}\)

\(1.2\) \(=5 \times k\)  
\(k\) \(=\dfrac{1.2}{5}=0.24\)  

 
\(\text{Find} \ h \ \text{when} \ \ d=48:\)

\(48\) \(=0.24 \times h\)  
\(h\) \(=\dfrac{48}{0.24}=200\)  

 
\(\Rightarrow C\)

Filed Under: Direct Variation, Direct Variation Tagged With: Band 4, smc-6249-20-Algebraic, smc-6514-20-Algebraic

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