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A Study Found That the Divorce Rate D (Given as a Percentage)

Question 59

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A study found that the divorce rate d (given as a percentage) appears to depend on the ratio r of available men to available women. This function can be approximated by d(r) ={40r+100 if r1.3101r41184 if r>1.3d ( r ) = \left\{ \begin{array} { l l } - 40 r + 100 & \text { if } r \leq 1.3 \\\frac { 101 r } { 4 } - \frac { 118 } { 4 } & \text { if } r > 1.3\end{array} \right.
There are currently 0.8 available men per available woman in Littleville, and this ratio is increasing by 0.1 per year. At what percent is the divorce rate decreasing


A) 0.4% per year
B) 0.08% per year
C) 10% per year
D) 4% per year
E) 10.1% per year

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