Answer: The functions are both increasing.
The function for plan II has a greater unit rate.
The function for plan I has a greater y-intercept.
Step-by-step explanation:
According to the given question we have two functions.
Function 1.
Function 2.
Both are written in intercept form of linear equation , where m is the slope of line or rate of change of y w.r.t. x.
Slope of function 1. = 400
i.e. Unit rate = $400 per month
Slope of function 2. = 420
i.e. Unit rate = $420 per month
⇒The function for plan II has a greater unit rate.
As both has positive slopes.
∴ Both functions are increasing functions.
For y intercept , put x=0 in the functions.
The y-intercept of function 1 = $12000
The y-intercept of function 2= $11000
⇒The function for plan I has a greater y-intercept.