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

question 433

Multiple Choice

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

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Definitions:

Amortized

The process of gradually paying off a debt or reducing the value of an intangible asset through regular payments over a set period.

Patent

A government-granted exclusive right for an invention, giving the patent owner the right to exclude others from making, using, or selling the invention for a certain period.

Net Income

Net income is the total earnings of a company after subtracting all expenses, taxes, and losses, indicating the company's profitability during a specific time period.

Fair Value

The amount it would take to sell an asset or transfer a liability in a regulated deal between parties in the market at the time of evaluation.