Answer:
Alex starts with $125 and April with $100.
Step-by-step explanation:
Givens:
- [tex]y=20x+125[/tex]; where [tex]y[/tex] is the money Alex saved, and [tex]x[/tex] refer to weeks.
- The given graph is about April's money saved.
Now, to know the initial amount of money each person started from, we have to look for initial conditions.
In the graph, we observe that the linear relation starts at [tex](0;100)[/tex], that means April started with $100, because [tex]y[/tex] refer to money, and [tex]x[/tex] to weeks.
On the other hand, the initial condition of Alex is when [tex]x=0[/tex], that is, at the moment where time didn't start yet, that is, in the moment he began to save. So,
[tex]y=20(0)+125[/tex]
[tex]y=125[/tex]
Therefore, Alex started with $125, that's his initial condition
According to these results, Alex starts with $125 and April with $100.