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

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step-by-step explanation: