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-The Concentration of a Certain Gas Molecule in the Atmosphere

Question 457

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-The concentration of a certain gas molecule in the atmosphere serves as an indicator of industrial 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.  Year  Concentration (ppb)  02.4103.4254.0493.6\begin{array} { c | c } \text { Year } & \text { Concentration (ppb) } \\\hline 0 & 2.4 \\10 & 3.4 \\25 & 4.0 \\49 & 3.6\end{array} Determine the linear, quadratic, cubic, or quartic function that best fits the data.


A) f(x) =0.002x2+0.11x+2.43f ( x ) = - 0.002 x ^ { 2 } + 0.11 x + 2.43
B) f(x) =0.00002x30.003x2+0.13x+2.4f ( x ) = 0.00002 x ^ { 3 } - 0.003 x ^ { 2 } + 0.13 x + 2.4
C) f(x) =0.02x+2.90f ( x ) = 0.02 x + 2.90
D) f(x) =x4+0.00002x30.003x2+0.13x+2.4f ( x ) = x ^ { 4 } + 0.00002 x ^ { 3 } - 0.003 x ^ { 2 } + 0.13 x + 2.4

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