Question

When a new charter school opened in 1995, there were 370 students enrolled. Write a formula for the equation N, representing the number of students attending this charter school t years after 1995, assuming that the student population:

Answer 1

`\begin{gathered} N=370+40t \\ \\ N=370-32t \\ \\ N=370+22t \\ \\ N=370-12t \\ \\ N=370 \\ \\ N=370+20t \end{gathered}`

Explanation:

Given: Initial number = 370 students.

We can determine in each case taking into account that it would be a rate (that is, a slope) that is added to the equation.

Therefore:

Increased by 40 students per year:

`N=370+40t`

Decreased by 40 students per year:

`N=370-32t`

Increased by 44 students every 2 years:

`\begin{gathered} N=370+(44t)/(2) \\ N=370+22t \end{gathered}`

Decreased by 48 students every 4 years:

`\begin{gathered} N=370-(48t)/(4) \\ N=370-12t \end{gathered}`

Remained constant:

`N=370`

Increased by 10 students every semester:

`\begin{gathered} N=370+2\cdot10t \\ N=370+20t \end{gathered}`