In 2008 , Zinah earned 14 % more than in 2007 , and in 2009 Zinah earned 4 % more

Question

In 2008 , Zinah earned 14 % more than in 2007 , and in 2009 Zinah earned 4 % more than in 2008 . If Zinah earned y times as much in 2009 as in 2007 , what is the value of y ?

Accepted Answer

Choice D is correct. It&rsquo;s given that in 2008 Zinah earned 14 % more than in 2007 . Let h represent the amount Zinah earned in 2007 and let j represent the amount that Zinah earned in 2008 . This situation can be represented by the equation j = 1 + 14 100 h , or j = 1.14 h . It&rsquo;s also given that in 2009 Zinah earned 4 % more than in 2008 . Let k represent the amount Zinah earned in 2009 . This situation can be represented by the equation k = 1 + 4 100 j , or k = 1.04 j . Substituting 1.14 h for j in the equation k = 1.04 j yields k = 1.04 1.14 h , or k = 1.1856 h . If Zinah earned y times as much in 2009 as in 2007 , then the value of y is 1.1856 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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