Answer:
7 stations
19 stations
199 stations
Step-by-step explanation:
We can model the stage number as [tex]x[/tex], and the number of modules as [tex]y[/tex]. We can write this as a linear equation, where the initial number of modules is 1, and the number of modules increases by 2 every station. This is [tex]y=2x+1[/tex], but since if you plug in 1 into the equation, you get 3, which is the station number for the next number, you have to edit that into x - 1:
[tex]y=2(x-1)+1[/tex]
Expanding, we have 2x - 2 + 1, which is 2x - 1:
[tex]y = 2x - 1[/tex]
Now, plugging 4 into the equation, we have 7.
Plugging 10 into the equation, we have 19.
Plugging 100 into the equation, we have 199.
