Question

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 yâÂ’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.

Answer 1

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

Given that:

Equation given by Paul:

$y - 1400 = 56(x + 26)\\or\\y = 56x + 2856$

Data given by Tim:

Total amount at the end of 8 months = $4,500

Interest per month = $225

Thus principal amount can be calculated by: $4580 - 8 \times 225 = 2780$ in dollars.

Thus the equation for Tim will be:

$y = 2780 + 225x$

Thus it is visible that the y-s intercept for Tim's equation is smaller ( since 2780 < 2856).

Thus Option D is correct.

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