Solve the problem.
-The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the three years considered. For a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this datc what is the value of $\mathrm { c }$ ?
$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Number of dog collars } \
\text { (in thousands) }
\end{array} \
\hline 0 & 20 \
\hline 6 & 14 \
\hline 18 & 23.6
\end{array}$

A) 12.8
B) 14
C) 20
D) 23.6

Question

Solve the problem.
-The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the three years considered. For a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this datc what is the value of $\mathrm { c }$ ?
$\begin{array}{c|c}
\text { Year } & \begin{array}{c}
\text { Number of dog collars } \
\text { (in thousands) }
\end{array} \
\hline 0 & 20 \
\hline 6 & 14 \
\hline 18 & 23.6
\end{array}$

A) 12.8
B) 14
C) 20
D) 23.6

Quizplus · Accepted Answer

The value of $c$ in the quadratic equation $f(x) = ax^2 + bx + c$ represents the value of the function when $x = 0$. From the table, when the year is 0, the number of dog collars produced is 20,000. Therefore, $c = 20$.

Solve the Problem f(x)=ax2+bx+cf ( x ) = a x ^ { 2 } + b x + cf(x)=ax2+bx+c

Solve the Problem $f ( x ) = a x ^ { 2 } + b x + c$