Find a Quadratic Function That Best Fits the Data $\begin{array}{c|c|c|c|c}x & 2 & 6 & 8 & 15 \\\hline y & 35 & 95 & 116 & 78\end{array}$

question 53

Multiple Choice

Find a quadratic function that best fits the data. Give answers to the nearest hundredth.
- $\begin{array}{c|c|c|c|c}x & 2 & 6 & 8 & 15 \\\hline y & 35 & 95 & 116 & 78\end{array}$

• A) \(y = - 1.40 x ^ { 2 } + 27.15 x - 14.44\)
• B) \(y = - 0.03 + 3.78 x - 6.74\)
• C) \(y = 1.40 x ^ { 2 } + 27.15 x + 14.44\)
• D) \(y = 5.66 x ^ { 2 } - 39.888 x + 99.29\)

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Definitions:

Volume-Based Product Costing

A costing methodology that assigns costs to products based on the volume of units produced, utilizing overhead rates calculated from total production volume.

Marginal Revenue

The additional income generated from selling one more unit of a good or service.

Marginal Cost Paradigm

The economic principle that examines the additional costs incurred from producing one more unit of a good or service.

Oligopolistic Market

A market structure characterized by a small number of large firms controlling the majority of market share, leading to competitive yet interdependent market dynamics.