The function S=f(t) gives the average annual sea level, S,...

The function $S=f(t)$ gives the average annual sea level, $S,$ in meters, in Aberdeen, Scotland, $^{4}$ as a function of $t,$ the number of years before 2012 . Write a mathematical expression that represents the given statement.
The average annual sea level in Aberdeen in 2012 .

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Key Concepts

Interpretation of Variables

This concept focuses on understanding the meaning of the variables within a function. Here, the variable t represents the number of years before a given reference year (2012), so determining the correct value to substitute (using t = 0 for the year 2012) is crucial for accurate evaluation of the function.

Translation of Verbal Statements into Mathematical Expressions

This is the process of converting a word problem or a real-world description into a formal mathematical expression. It involves identifying the relevant information and appropriately expressing it using variables and functions. In this example, the verbal statement about the sea level in 2012 is translated into the mathematical expression f(0).

Function Evaluation

This concept involves substituting a specific value into a function to determine its output. In the context of a function that models a real-world situation, evaluating the function at a certain point allows us to find the corresponding value. For example, substituting the appropriate value into the function f(t) gives the sea level measurement for that year.

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