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The Table Lists the Amount of Emissions of a Certain  Year 1990199520002005P18.822.626.029.0\begin{array}{r|cccc}\text { Year } & 1990 & 1995 & 2000 & 2005 \\\hline \mathrm{P} & 18.8 & 22.6 & 26.0 & 29.0\end{array}

question 16

Multiple Choice

The table lists the amount of emissions of a certain pollutant in millions of tons.  Year 1990199520002005P18.822.626.029.0\begin{array}{r|cccc}\text { Year } & 1990 & 1995 & 2000 & 2005 \\\hline \mathrm{P} & 18.8 & 22.6 & 26.0 & 29.0\end{array}

If the amount of emissions is modeled by a function of the form f(x) =ax2+bx+c\mathrm { f } ( \mathrm { x } ) = \mathrm { ax } { } ^ { 2 } + \mathrm { bx } + \mathrm { c } where x\mathrm { x } is the year, estimate tl year in which the amount of emissions will be 10.010.0 million tons.


Definitions:

Perfect Competitor

A theoretical market structure where many firms sell identical products, there are no barriers to entry or exit, buyers have perfect information, and firms are price takers.

Long Run

A period in economics where all factors of production and costs are variable, allowing for full industry adjustment to changes.

Perfect Competitor

A theoretical market structure where many firms offer a standardized product, there is free entry and exit, and all buyers and sellers have perfect information, leading to price being equal to marginal cost.

Long Run

A period in which all inputs can be adjusted, allowing firms to change their production capacity and industries to enter or exit markets.

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