Answer:
The "y" intercept for the Tim expression is smaller.
Step-by-step explanation:
Since Tim increases his saving at a rate of $225 per month, then his savings can be expressed as:
[tex]y = 225*x + c[/tex]
Where "c" is a constant that represents the "y" intercept. To find it we need to apply the point given, this is, after eight months he has $4,580 on his account. So "y" is equal to 4,580 and "x" is equal to 8.
[tex]4580 = 225*8 + b\\b = 4580 - 225*8\\b = 4580 - 1800 = 2780[/tex]
The whole expression is:
[tex]y = 225*x + 2780[/tex]
While Paul's expression is:
[tex]y - 1400 = 56*(x + 26) \\y = 56*x + 1456 + 1400\\y = 56*x + 2856[/tex]
The "y" intercept in a linear function such as these is the number that is isolated from the variable "x", so for Tim's case it is 2780 while for Paul's it is 2856, therefore Tim is smaller.
