Find a Quadratic Function That Best Fits the Data $\begin{array}{c|c|c|c|c}\mathrm{x} & 2 & 34 & 79 & 110 \\\hline \mathrm{y} & 1024 & 2345 & 2267 & 984\end{array}$

question 126

Multiple Choice

Find a quadratic function that best fits the data. Give answers to the nearest hundredth.
- $\begin{array}{c|c|c|c|c}\mathrm{x} & 2 & 34 & 79 & 110 \\\hline \mathrm{y} & 1024 & 2345 & 2267 & 984\end{array}$

• A) \(y = 0.54 x ^ { 2 } + 60.05 x + 912.48\)
• B) \(y = - 0.7803 + 98.39 x - 419.89\)
• C) \(y = - 0.54 x ^ { 2 } + 60.05 x + 912.48\)
• D) \(y = - 4.66 x ^ { 2 } - 45.67 x + 345.67\)

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Definitions:

Equal Satisfaction

A situation or outcome in consumer behavior where an individual achieves the same level of utility or happiness from different combinations of goods or services.

Indifference Curve

A graph showing combinations of goods among which a consumer is indifferent, representing equal levels of satisfaction or utility.

Budget Line

Represents all possible combinations of goods and services a consumer can purchase with a specific budget, given the prices of those goods and services.

Demand Curve

A graphical representation of the relationship between the price of a good and the quantity of the good that consumers are willing and able to purchase at various prices.