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In​ 2006, the population of the country was 30.4 million. This represented an increase in population of 7.6 % since 2001. What was the population of the country in​ 2001? Round to the nearest hundredth of a million.

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frika

Answer:

28.25 million

Step-by-step explanation:

Population of the country:

  • in 2001 - x million
  • in 2006 - 30.4 million

Population of the country as percent:

  • in 2001 - 100%
  • in 2006 - 100% + 7.6% = 107.6%

Write a proportion:

[tex]\dfrac{x}{30.4}=\dfrac{100}{107.6}[/tex]

Cross multiply:

[tex]107.6\cdot x=30.4\cdot 100[/tex]

Divide by 107.6:

[tex]x=\dfrac{30.4\cdot 100}{107.6}=\dfrac{3,040}{107.6}\approx 28.25[/tex]

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