Answer:
see below
Step-by-step explanation:
Part A
We know the slope is change in y over change in x
m = (y2-y1)/(x2-x1)
m = ( 475 - 325)/(10 -0)
= 150 /10
= 15
The slope is the change in the bank balance per day
The balance is increasing 15 dollars per day
Part B
point slope is y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
We can use any point
y - 400 = 15(x-5)
y = mx+b is slope intercept
The slope ,m, is 15 and the y intercept is 325
y = 15x+325
standard form is ax+by =c
y = 15x+325 where a>0 and a,b,c are integers
-15x +y = 325
15x -y = -325
Part C
function notation is replacing y with f(x)
f(x) = 15x+325
Part D
Let x = 12
f(12) = 15*12 +325
=180+325
= 505
