Solve the problem.
-The following table shows the per capita cumquat consumption, in pounds, in the Virgin Islands i three different years. Find a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data. Using this function, what would you predict the per capita cumquat consumption to be in year 11?

$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Cumquat consumption } \
\text { (in pounds) }
\end{array} \
\hline 0 & 12.4 \
\hline 5 & 23.9 \
\hline 9 & 43.9
\end{array}$
n 64)
A) 55.2 lb
B) 59 lb
C) 57.5 lb
D) 57.9 lb

Question

Solve the problem.
-The following table shows the per capita cumquat consumption, in pounds, in the Virgin Islands i three different years. Find a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data. Using this function, what would you predict the per capita cumquat consumption to be in year 11?

$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Cumquat consumption } \
\text { (in pounds) }
\end{array} \
\hline 0 & 12.4 \
\hline 5 & 23.9 \
\hline 9 & 43.9
\end{array}$
 n 64)
A) 55.2 lb
B) 59 lb
C) 57.5 lb
D) 57.9 lb

Quizplus · Accepted Answer

To find the quadratic function, solve the system of equations using the given points: $f(0) = 12.4$, $f(5) = 23.9$, and $f(9) = 43.9$. Once the function is determined, substitute $x = 11$ to predict the consumption. The calculation results in approximately 57.5 lb.

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