The number of students enrolled at a college is 12,000 and grows 6% each year. Write the equation and use it to predict the number of students enrolled after 23 years.
1. The initial amount a is
2. The growth factor b is
3. Complete the equation y =
4. Complete the equation y =
1. The initial amount a is 12,000.
2. The growth factor b is 1 + 0.06 = 1.06 (since the growth rate is 6% or 0.06).
3. Complete the equation y = a * b^x
y = 12,000 * (1.06)^x
To predict the number of students enrolled after 23 years, we substitute x = 23 into the equation:
y = 12,000 * (1.06)^23