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Percentages, SM-Bank 040 MC

The population of Australian states in 2015 and 2016 is recorded in the table below.

Some data for Western Australia is not shown.
 

 
What was the population of Western Australia (WA) close to in 2016?

  1. \(2\ 773\ 100\)
  2. \(2\ 710\ 500\)
  3. \(2\ 147\ 600\)
  4. \(2\ 091\ 300\)
Show Answers Only

\(D\)

Show Worked Solution

\(\text{Solution 1}\)

\(\text{WA Population in 2016}\)

\(= 2\ 085\ 021 + \Big(\dfrac{0.3}{100}\times 2\ 085\ 021\Big)=2\ 085\ 021 + 6255.063\)

\(=2\ 091\ 276.063\approx 2\ 091\ 300\)

 

\(\text{Solution 2 (Advanced)}\)

\(\text{WA Population in 2016}\)

\(=2\ 085\ 021\times 100.3\%= 2\ 085\ 021\times 1.003\)

\(\approx 2\ 091\ 300\)

 
\(\Rightarrow D\)