Answer:
Tim has the smaller y-intercept = 2780
Step-by-step explanation:
Tim explains that Marshas saving increases by 225 per month. After 8 months, Marsha's has 4580 in his account.
Let m be the gradient(change per month)
Let y be the initial money in Marsha's account.
Let y1 be the amount in Marsha's account after 8 months
y1 = 4580
Let x be the initial month d money was put into the account.
Let x1 be the number of months it takes for money to increase to 4580
x1= 8
(y - y1) /(x - x1) = m
(y - 4580)/ (x - 8) = 225
y - 4580 = 225(x - 8)
y - 4580 = 225x - 1800
y = 225x - 1800 + 4580
y = 225x + 2780
Comparing with y = mx + c, c(intercept) = 2780
For Paul,
y - 1400 = 56(x + 26)
y -1400 = 56x + 1456
y = 56x + 1456 + 1400
y = 56x + 2856
Comparing with y = mx + c, c(intercept) = 2850
Therefore comparing Tim's Y intercept and Paul's Y intercept,
2780 < 2856
Tim's function smaller y intercept = 2780
