Tim explained a function in words and paul wrote an equation. tim the amount of money in marshas savings account increases at a rate of 225 per month. after eight months, her bank account has 4,580 in it. paul y 1,400 = 56 (x + 26). whose function has the smaller y-intercept?

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

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right