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Answer :
- The function $f(t)$ represents the number of units produced $t$ years after 2005.
- We are given $f(6) = 44,500$.
- Calculate the year: $2005 + 6 = 2011$.
- Therefore, in 2011, 44,500 units are produced. $\boxed{}$
### Explanation
1. Understanding the Problem
The problem states that $f(t)$ represents the number of units produced by a company $t$ years after it opened in 2005. We are given that $f(6) = 44,500$, which means that 6 years after 2005, the company produced 44,500 units.
2. Calculating the Year
To find the year when $t=6$, we add 6 to the year the company opened, which is 2005. So, the year is $2005 + 6 = 2011$.
3. Interpreting the Result
Therefore, the correct interpretation of $f(6) = 44,500$ is that in 2011, the company produced 44,500 units.
4. Final Answer
The correct answer is: In 2011, 44,500 units are produced.
### Examples
Understanding functions like f(t) is useful in business to model production, sales, or costs over time. For example, a company might use f(t) to predict future sales based on past performance. By analyzing the function, the company can make informed decisions about production levels, marketing strategies, and investments. This helps in planning and optimizing business operations for better outcomes.
- We are given $f(6) = 44,500$.
- Calculate the year: $2005 + 6 = 2011$.
- Therefore, in 2011, 44,500 units are produced. $\boxed{}$
### Explanation
1. Understanding the Problem
The problem states that $f(t)$ represents the number of units produced by a company $t$ years after it opened in 2005. We are given that $f(6) = 44,500$, which means that 6 years after 2005, the company produced 44,500 units.
2. Calculating the Year
To find the year when $t=6$, we add 6 to the year the company opened, which is 2005. So, the year is $2005 + 6 = 2011$.
3. Interpreting the Result
Therefore, the correct interpretation of $f(6) = 44,500$ is that in 2011, the company produced 44,500 units.
4. Final Answer
The correct answer is: In 2011, 44,500 units are produced.
### Examples
Understanding functions like f(t) is useful in business to model production, sales, or costs over time. For example, a company might use f(t) to predict future sales based on past performance. By analyzing the function, the company can make informed decisions about production levels, marketing strategies, and investments. This helps in planning and optimizing business operations for better outcomes.
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