Answer :
To interpret the statement [tex]\( f(6) = 44,500 \)[/tex], we need to understand what each part of the notation means:
1. The function [tex]\( f(t) \)[/tex] represents the number of units produced by the company [tex]\( t \)[/tex] years after the company opened in 2005.
2. The notation [tex]\( f(6) = 44,500 \)[/tex] tells us that when [tex]\( t = 6 \)[/tex], the function [tex]\( f(t) \)[/tex] equals 44,500. This means that 44,500 units were produced at that particular point in time.
3. To find out which year corresponds to [tex]\( t = 6 \)[/tex], add 6 years to the starting year, which is 2005:
[tex]\[
2005 + 6 = 2011
\][/tex]
Putting this together, it means that in the year 2011, the company produced 44,500 units.
Therefore, the correct interpretation is: In 2011, 44,500 units are produced.
1. The function [tex]\( f(t) \)[/tex] represents the number of units produced by the company [tex]\( t \)[/tex] years after the company opened in 2005.
2. The notation [tex]\( f(6) = 44,500 \)[/tex] tells us that when [tex]\( t = 6 \)[/tex], the function [tex]\( f(t) \)[/tex] equals 44,500. This means that 44,500 units were produced at that particular point in time.
3. To find out which year corresponds to [tex]\( t = 6 \)[/tex], add 6 years to the starting year, which is 2005:
[tex]\[
2005 + 6 = 2011
\][/tex]
Putting this together, it means that in the year 2011, the company produced 44,500 units.
Therefore, the correct interpretation is: In 2011, 44,500 units are produced.
