The Table Shows the Monthly Revenue Y (In Thousands of Dollars)of

question 13

Multiple Choice

The table shows the monthly revenue y (in thousands of dollars) of a landscaping business for each month of the year 2008,with x = 1 representing January.
$$\begin{array} { | c | c | } \hline x & y \\\hline 1 & 6.0 \\\hline 2 & 6.1 \\\hline 3 & 7.1 \\\hline 4 & 9.2 \\\hline 5 & 12.3 \\\hline 6 & 16.4 \\\hline 7 & 12.2 \\\hline 8 & 10.2 \\\hline 9 & 8.3 \\\hline 10 & 6.3 \\\hline 11 & 4.3 \\\hline 12 & 2.4 \\\hline\end{array}$$
A mathematical model that represents these data is: $$f ( x ) = \left\{ \begin{array} { l l } 0.505 x ^ { 2 } - 1.47 x + 7.0 & 1 \leq x \leq 6 \\- 1.97 x + 26.0 & 6 < x \leq 12\end{array} \right.$$
Find f (1) and f (12) .

• A) \(f ( 1 ) = 2.860 , f ( 12 ) = 6.79\)
• B) \(f ( 1 ) = 3.360 , f ( 12 ) = 7.04\)
• C) \(f ( 1 ) = 6.035 , f ( 12 ) = 2.36\)
• D) \(f ( 1 ) = 2.860 , f ( 12 ) = 6.54\)
• E) \(f ( 1 ) = 2.860 , f ( 12 ) = 6.29\)

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