Respuesta :
Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
