Answer :
We are given that the function [tex]\( f(t) \)[/tex] represents the number of units produced [tex]\( t \)[/tex] years after the company opened in 2005. When we evaluate the function at [tex]\( t = 6 \)[/tex], we have:
[tex]$$
f(6) = 44500.
$$[/tex]
Here, [tex]\( t = 6 \)[/tex] corresponds to 6 years after the opening year of 2005. To determine the actual production year, we calculate:
[tex]$$
\text{Year of production} = 2005 + 6 = 2011.
$$[/tex]
Thus, [tex]\( f(6) = 44500 \)[/tex] means that in the year 2011, the company produced 44,500 units.
The correct interpretation is:
In 2011, 44,500 units are produced.
[tex]$$
f(6) = 44500.
$$[/tex]
Here, [tex]\( t = 6 \)[/tex] corresponds to 6 years after the opening year of 2005. To determine the actual production year, we calculate:
[tex]$$
\text{Year of production} = 2005 + 6 = 2011.
$$[/tex]
Thus, [tex]\( f(6) = 44500 \)[/tex] means that in the year 2011, the company produced 44,500 units.
The correct interpretation is:
In 2011, 44,500 units are produced.