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Problem-Solving and Data Analysis Difficulty: Hard

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

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Explanation

Choice D is correct. It’s given that in $2008$ Zinah earned $14 percent sign$ 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 $j = (1 + \frac{14}{100}) h$ , or $j equals 1.14 h$ . It’s also given that in $2009$ Zinah earned $4 percent sign$ more than in $2008$ . Let $k$ represent the amount Zinah earned in $2009$ . This situation can be represented by the equation $k = (1 + \frac{4}{100}) j$ , or $k equals 1.04 j$ . Substituting $1.14 h$ for $j$ in the equation $k equals 1.04 j$ yields $k equals left parenthesis 1.04 right parenthesis left parenthesis 1.14 h right parenthesis$ , or $k equals 1.1856 h$ . 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.