Solve.
-The concentration of a certain gas molecule in the atmosphere serves as an indicator of industrial 335) air pollution. The data in the following table show the relationship of the estimated concentration
Of the molecule in the atmosphere, in parts per billion (ppb), to the year. $$\begin{array} { c | c }
\text { Year } & \text { Concentration (ppb) } \
\hline 0 & 2.2 \
10 & 3.1 \
25 & 3.9 \
35 & 3.3 \
50 & 2.3
\end{array}$$ Determine the linear, quadratic, or cubic function that best fits the data.
A) $f ( x ) = - 0.002 x ^ { 2 } + 0.12 x + 2.19$
B) $f ( x ) = 0.002 x + 2.90$
C) $f ( x ) = 0.00001 x ^ { 3 } - 0.003 x ^ { 2 } + 0.14 x + 2.16$
D) $f ( x ) = - 0.003 x ^ { 2 } + 0.12 x + 2.19$

Question

Solve.
-The concentration of a certain gas molecule in the atmosphere serves as an indicator of industrial 335) air pollution. The data in the following table show the relationship of the estimated concentration
Of the molecule in the atmosphere, in parts per billion (ppb), to the year. $$\begin{array} { c | c } 
\text { Year } & \text { Concentration (ppb) } \
\hline 0 & 2.2 \
10 & 3.1 \
25 & 3.9 \
35 & 3.3 \
50 & 2.3
\end{array}$$ Determine the linear, quadratic, or cubic function that best fits the data. 
A) $f ( x ) = - 0.002 x ^ { 2 } + 0.12 x + 2.19$
B) $f ( x ) = 0.002 x + 2.90$
C) $f ( x ) = 0.00001 x ^ { 3 } - 0.003 x ^ { 2 } + 0.14 x + 2.16$
D) $f ( x ) = - 0.003 x ^ { 2 } + 0.12 x + 2.19$

Quizplus · Accepted Answer

The data shows a non-linear trend that initially increases, then decreases, and finally increases again, which suggests a cubic function would best fit the data. Option C, being a cubic function, is capable of capturing this type of complex, non-linear trend in the data.

Solve -The Concentration of a Certain Gas Molecule in the Atmosphere

Solve
-The Concentration of a Certain Gas Molecule in the Atmosphere