Question

the number of students enrolled at a college is 15,000 and grows 6% each year. complete parts (a) through (e).
a) the initial amount a is 15000.
b) the percent rate of change is 6%, so the growth factor b is 1 + \square = \square.

Explanation:

Step1: Convert percentage to decimal

The percent rate of change is 6%, which as a decimal is $0.06$.

Step2: Calculate growth factor

The growth factor \( b \) for exponential growth is \( 1 + \text{rate (decimal)} \). So we substitute the rate: \( 1 + 0.06 \).
Calculating that gives \( 1.06 \).

Answer:

The first box (for the rate in decimal) is \( 0.06 \), and the second box (for the growth factor) is \( 1.06 \). So filling in the blanks: \( 1 + \boldsymbol{0.06} = \boldsymbol{1.06} \)