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

Question

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

Quizplus · Accepted Answer

The quadratic function that best fits the data is found using regression techniques, and when evaluated at the year 2025, it estimates approximately 38.6 million tons.

Find a Power Function That Models the Data in the Table