Find a Power Function That Models the Data in the Table

question 189

Multiple Choice

Find a power function that models the data in the table. Round to three decimal places if necessary.
-The table lists the amount of emissions of a certain pollutant in millions of tons. $\begin{array}{r|rrrr}\text { Year } & 1980 & 1985 & 1990 & 1995 \\\hline \mathrm{P} & 18.8 & 22.6 & 26.0 & 29.0\end{array}$

If the amount of emissions is modeled by a function of the form $\mathrm { f } ( \mathrm { x } ) = \mathrm { ax } { } ^ { 2 } + b x + c$ where $x$ is the year, estimate th amount of emissions in the year $2025 .$

• A) 43.8 million tons
• B) 38.6 million tons
• C) 34.0 million tons
• D) 41.7 million tons

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Definitions:

Agricultural Subsidies

Government financial assistance to farmers to supplement their income, manage the supply of agricultural commodities, and influence the cost and supply of such commodities.

Farm Act

The Farm Act typically refers to legislation aimed at supporting the agricultural sector, including provisions for subsidies, insurance, conservation, and trade.

2014 Agriculture Act

A comprehensive statute that governs agricultural and food policy in the United States, also known as the 2014 Farm Bill.

Farm Subsidies

Financial support and assistance provided by the government to farmers and agribusinesses to stabilize food prices, ensure a sufficient food supply, and support farmers' incomes.