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------------------------------------------------ Select the correct answer.

Let [tex]f(t)[/tex] be the number of units produced by a company [tex]t[/tex] years after opening in 2005. What is the correct interpretation of [tex]f(6) = 44,500[/tex]?

A. In 2011, 44,500 units are produced.
B. In 2009, 44,500 units are produced.
C. Six years from now, 44,500 units will be produced.
D. In 2006, 44,500 units are produced.

We are given that the function [tex]$ f(t) $[/tex] represents the number of units produced by the company [tex]$ t $[/tex] years after it opened in 2005. This means that when [tex]$ t = 0 $[/tex], the year is 2005, when [tex]$ t = 1 $[/tex], the year is 2006, and so on.

1. For [tex]$ t = 6 $[/tex], the corresponding year is calculated by adding 6 years to 2005:
[tex]$$
2005 + 6 = 2011.
$$[/tex]

2. The statement [tex]$ f(6) = 44,\!500 $[/tex] tells us that in the year 2011, the company produced 44,500 units.

Thus, the correct interpretation of [tex]$ f(6)=44,\!500 $[/tex] is:

[tex]$$
\text{In 2011, 44,500 units are produced.}
$$[/tex]