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:

Machine-hours

A measure of production time, used in cost accounting, representing the hours that a machine operates.

Predetermined Overhead Rate

This refers to the rate used to allocate manufacturing overhead costs to individual products or job orders, calculated before the accounting period begins based on estimated costs and activity levels.

Machine-hour

A measure of the amount of time a machine is operated, used in calculating manufacturing costs and setting production schedules.

Predetermined Manufacturing Overhead

A calculation used to estimate the total manufacturing overhead costs for a certain period, often used for budgeting and cost management in production.