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

Answer :

Sure! Let's interpret the given information step-by-step:

1. Understanding the Function: We have a function [tex]\( f(t) \)[/tex] that represents the number of units produced by a company [tex]\( t \)[/tex] years after it opened in 2005.

2. Interpreting [tex]\( f(6) = 44,500 \)[/tex]: This means that after 6 years from the year the company opened, the company produced 44,500 units.

3. Calculating the Year: The company opened in 2005. To find out the specific year that corresponds to 6 years later, we add 6 to 2005:
[tex]\[
2005 + 6 = 2011
\][/tex]

4. Conclusion: Therefore, in the year 2011, the company produced 44,500 units.

Among the answer options provided, the correct interpretation is: "In 2011, 44,500 units are produced."