Answer :
To solve this problem, we need to understand what the function [tex]\( f(t) \)[/tex] represents. The function [tex]\( f(t) \)[/tex] gives the number of units produced by a company [tex]\( t \)[/tex] years after the year 2005.
Given the information [tex]\( f(6) = 44,500 \)[/tex], this tells us that 44,500 units were produced when [tex]\( t = 6 \)[/tex].
Now, we need to interpret what year [tex]\( t = 6 \)[/tex] corresponds to:
1. Start year: The company began production in the year 2005.
2. Calculate the year for [tex]\( t = 6 \)[/tex]:
- Since [tex]\( t \)[/tex] represents the number of years after 2005, we add 6 years to 2005.
- [tex]\( 2005 + 6 = 2011 \)[/tex].
Therefore, the correct interpretation of [tex]\( f(6) = 44,500 \)[/tex] is:
"In 2011, 44,500 units are produced."
This matches the option stating that in 2011, the company produced 44,500 units.
Given the information [tex]\( f(6) = 44,500 \)[/tex], this tells us that 44,500 units were produced when [tex]\( t = 6 \)[/tex].
Now, we need to interpret what year [tex]\( t = 6 \)[/tex] corresponds to:
1. Start year: The company began production in the year 2005.
2. Calculate the year for [tex]\( t = 6 \)[/tex]:
- Since [tex]\( t \)[/tex] represents the number of years after 2005, we add 6 years to 2005.
- [tex]\( 2005 + 6 = 2011 \)[/tex].
Therefore, the correct interpretation of [tex]\( f(6) = 44,500 \)[/tex] is:
"In 2011, 44,500 units are produced."
This matches the option stating that in 2011, the company produced 44,500 units.
