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 =a.b
4. Complete the equation y =
1. The initial amount a is 12,000.
2. The growth factor b is 1 + 6% = 1 + 0.06 = 1.06.
3. Complete the equation y = a.b:
y = 12,000 * 1.06 = 12,720
4. Complete the equation y = :
After 23 years, the equation becomes y = 12,000 * (1.06)^23.
Using a calculator, y ≈ 31,287.27.
Therefore, the predicted number of students enrolled after 23 years is approximately 31,287.