Question
9 . Multiple Choice 5 points The current student population of the Brenitwood Student Center is 2.000 . The enrollment at the center increases at a rate of \( 4 \% \) each year. What is the growth factor? 1.04 4 0.04 0.96
Ask by Kelley Long. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The growth factor is 1.04.
Solution
To determine the growth factor for the Brenitwood Student Center's enrollment, we use the following reasoning:
- **Growth Rate:** The enrollment is increasing by \( 4\% \) each year.
- **Growth Factor Formula:**
\[
\text{Growth Factor} = 1 + \frac{\text{Growth Rate}}{100}
\]
Substituting the given growth rate:
\[
\text{Growth Factor} = 1 + \frac{4}{100} = 1.04
\]
**Answer:**
**1.04**
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Explain 
Simplify this solution The Deep Dive
The growth factor is the amount by which a quantity increases each year. To find the growth factor for a 4% increase, you add 1 to the rate of increase expressed as a decimal. So, 1 + 0.04 = 1.04. This means for every student, the population increases by 1.04 each year! In practical terms, understanding growth factors can be super useful. For instance, if you know the growth factor for a population of trees in a forest, you can predict how many there will be in five years. You simply multiply the current number of trees by the growth factor raised to the number of years. It's a fun way to see if our planet is getting greener!
