Question

The school population for a certain school is predicted to increase by 50 students per year for the next 14 years. If the current enrollment is 600 students, what will the enrollment be after 14 years?

Answer 1

Suppose that the school population is 600 students, and that it is predicted to increase by 50 students per year for the next 14 years. Thus we will have:

$\begin{gathered} \text{Year 0: }600 \\ \text{Year 1: }600+50=600+1\cdot50 \\ \text{Year 2: }600+50+50=600+2\cdot50 \\ \ldots \\ \text{Year 14: }600+\underbrace{50+\cdots+50}=600+50\cdot14=600+700=1300 \end{gathered}$

This means that the enrollment after 14 years will be of 1300 students in total.