Mexico The following table shows daily offshore crude oil...

Mexico The following table shows daily offshore crude oil production by Pemex, Mexico's national oil company, for $2008-2014(t=0$ represents 2008 ) : $$\begin{array}{|r|c|c|c|c|c|c|c|}\hline \begin{array}{r}\text { Year } t \\\text { (year since 2008) }\end{array} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \begin{array}{r}\text { Offshore Crude Oil } \\ \text { Production } s(t) \\\text { (million barrels/day) } \end{array} & 2.25 & 2.01 & 1.94 & 1.90 & 1.90 & 1.90 & 1.85 \\\hline\end{array}$$ a. Find $s(0), s(2),$ and $s(4)$. Interpret your answers. b. Find $s(4)-s(0)$. Interpret your answer.

Mexico The following table shows daily offshore crude oil production by Pemex, Mexico's national oil company, for $2008-2014(t=0$ represents 2008 ) :
$$\begin{array}{|r|c|c|c|c|c|c|c|}\hline \begin{array}{r}\text { Year } t \\\text { (year since 2008) }\end{array} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline \begin{array}{r}\text { Offshore Crude Oil } \\
\text { Production } s(t) \\\text { (million barrels/day) }
\end{array} & 2.25 & 2.01 & 1.94 & 1.90 & 1.90 & 1.90 & 1.85 \\\hline\end{array}$$
a. Find $s(0), s(2),$ and $s(4)$. Interpret your answers.
b. Find $s(4)-s(0)$. Interpret your answer.

Key Concepts

Contextual Interpretation of Numerical Results

After performing mathematical operations such as function evaluation and difference calculation, it is important to interpret these results in real-world context. In this problem, the values represent millions of barrels per day and their changes indicate the behavior of oil production over the years, helping to draw conclusions about trends in the industry.

Difference Calculation

This concept involves computing the change between two function values. By subtracting s(0) from s(4), we determine how the production has changed over the four-year period. This subtraction shows the quantitative change in production and helps in understanding trends and overall performance in the dataset.

Function Evaluation

This concept involves determining the output of a function for a given input. In the context of the problem, evaluating the function means reading the correct value from the table for a specified year 't'. For example, s(0), s(2), and s(4) are directly obtained from the table data, showing how production changes over time.

Interpreting Tabular Data

This concept pertains to understanding and extracting information from tables. The problem uses a table to present yearly offshore crude oil production, requiring one to carefully associate the 't' values (years since 2008) with the production values. Correctly reading these data points is crucial for subsequent calculations and analysis.

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