To solve these problems, we will use the following formulas:
1.- For linear increase or decrease:
[tex]y=b\pm ax.[/tex]
2.-For a percentage of increase or decrease:
[tex]y=(1\pm r)^x.[/tex]
3.- A constant function is represented by:
[tex]\begin{gathered} y=k, \\ k\text{ is a constant.} \end{gathered}[/tex]
Answer:
a) Increases by 23 students per year:
[tex]N=23t+800.[/tex]
b) Decreases by 11% per year:
[tex]N=800(1-0.11)^t=800(0.89)^t\text{.}[/tex]
c) Increases by 15% per year:
[tex]N=800(1+0.15)^t=800(1.15)^t.[/tex]
d) Remains constant:
[tex]N=800.[/tex]
e) Decreases by 74 students per year:
[tex]N=800-74t\text{.}[/tex]
