3
QuizMultiple Choice

Writing Linear Equations

Question 3 • AZ-Algebra 1A (MA101)

Tim explained a function in words and Paul wrote an equation.TimThe 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. Pauly−1,400=56(x+26)Whose function has the smaller y-intercept?

Answer
A
Tim’s with a y-intercept of $2,700
B
Paul’s with a y-intercept of $2,856
C
Paul’s with a y-intercept of $2,800
D
Tim’s with a y-intercept of $2,780

Explanation

Tim’s account follows y = 225x + b, where b is the starting balance. After 8 months, 4,580 = 225(8) + b, so b = 4,580 − 1,800 = $2,780. Paul’s equation gives y = 56x + 2,856, so his y-intercept is $2,856. Tim’s y-intercept is smaller, making choice D correct.

AI-written and checked against the verified answer.

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