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U.S. retail losses due to employee theft have increased from $15.9\$ 15.9 billion in 20082008 to $16.2\$ 16.2 billion in 20112011. Find the rate of change of retail losses due to employee theft.

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If we denote the rate of change of retail losses\textbf{the rate of change of retail losses} as x\textcolor{#c34632}{x} we obtain the following equation:

15.9+x%15.9=16.2x%15.9=16.215.9x%15.9=0.3x10015.9=0.3x100=0.315.9x=0.310015.9x=3015.9x=1.89\begin{align*} 15.9+x\%\cdot15.9&=16.2\\ x\%\cdot15.9&=16.2-15.9 \tag{\textcolor{#4257b2}{Using the addition principle.}}\\ x\%\cdot15.9&=0.3\\ \frac{x}{100}\cdot15.9&=0.3\\ \frac{x}{100}&=\frac{0.3}{15.9} \tag{\textcolor{#4257b2}{Using the multiplication principle.}}\\ x&=\frac{0.3\cdot100}{15.9}\\ x&=\frac{30}{15.9}\\ x&=\boxed{\textcolor{#c34632}{1.89}} \end{align*}

The rate of change of retail losses due to employee theft is 1.89%\boxed{\textcolor{#c34632}{1.89\%}}.

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