The number of employees in a company has been growing exponentially by \( 10 \% \) each year. By what exponent (write as a reduced fraction) should we raise the growth factor of 1.1 to model the number of employees change : a. Each month? 0 b b. Every 3 months? c. Every 20 months? 25

To model the number of employees changing monthly, you would raise \( 1.1 \) to the power of \( \frac{1}{12} \) since there are 12 months in a year. Thus, the exponent is \( \frac{1}{12} \). For every 3 months, you're considering a quarter of the year. Therefore, you would raise \( 1.1 \) to the power of \( \frac{1}{4} \) (as there are 4 quarters in a year), giving you a simpler exponent of \( \frac{1}{4} \).