Suppose That the Total Number of Arrests T (In Thousands) $T = 0.602 x ^ { 2 } - 41.44 x ^ { 2 } + 922.8 x - 6330,14 \leq x \leq 27$

question 86

Multiple Choice

Suppose that the total number of arrests T (in thousands) for all males ages 14 to 27 in 2006 is approximated by the model $T = 0.602 x ^ { 2 } - 41.44 x ^ { 2 } + 922.8 x - 6330,14 \leq x \leq 27$ where $x$ is the age in years (see figure) . Approximate the two ages to one decimal place that had total arrests of 275 thousand.

• A) \(15.7,23.8\)
• B) \(18.2 ; 21.6\)
• C) \(16.7 ; 22.8\)
• D) \(15.7 ; 22.8\)
• E) \(16.7 ; 21.6\)

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