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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.

To solve the problem and interpret the meaning of [tex]$ f(6) = 44,500 $[/tex], we need to consider what each part of this notation represents. Here's a detailed, step-by-step explanation:

1. Understanding the Function Notation:
- The function [tex]$ f(t) $[/tex] represents the number of units produced by a company [tex]$ t $[/tex] years after it opened.

2. Identifying the Start Year:
- The company opened in 2005.

3. Analyzing the Given Expression [tex]$ f(6) = 44,500 $[/tex]:
- The notation [tex]$ f(6) $[/tex] indicates that we are looking at the number of units produced 6 years after the company opened.

4. Calculating the Year:
- Since the company opened in 2005, and we are interested in production 6 years after opening:
- Add the 6 years to the opening year:
[tex]\[ 2005 + 6 = 2011 \][/tex]
- So, 6 years after the company opened is the year 2011.

5. Interpreting the Statement [tex]$ f(6) = 44,500 $[/tex]:
- The number [tex]$ 44,500 $[/tex] represents the units produced in that particular year.
- Therefore, in the year 2011, the company produced 44,500 units.

In conclusion, the correct interpretation of [tex]$ f(6) = 44,500 $[/tex] is: "In 2011, 44,500 units are produced."