Tim explained a function in words and Paul wrote an equation. Tim The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Paul y - 1,400 = 56 (x + 26) Whose function has the smaller y-intercept? Tim's with a y-intercept of $2,700 Paul's with a y-intercept of $2,856 Paul's with a y-intercept of $2,800 Tim's with a y-intercept of $2,780

its D ... Tim's with a y-intercept of $2,780

Answer : Tim's with a y-intercept of $2,780

The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it.

Rate of interest is 225

Rate of interest for 8 years = 225 * 8 = 1800

Now we subtract the interest 1800 from 4580 to get the initial amount of money invested. That would be the y intercept for Tim.

4580 - 1800 = 2780

The y intercept for Tim is 2780

Now we write Paul equation in y=mx+b form

y - 1400 = 56 (x + 26) (distribute 56 inside the parenthesis)

y - 1400 = 56x + 1456 (add 1400 on both sides)

y = 56x + 1456 + 1400

y = 56x + 2856

Paul y intercept is 2856

So, Tim's with a smaller y-intercept of $2,780