tim explained a function in words and paul wrote an equation.\ntim\nthe amount of money in a savings account…

tim explained a function in words and paul wrote an equation.\ntim\nthe 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.\npaul\ny - 1,400 = 56(x + 26)\nwhose function has the smaller y - intercept?\no tims with a y - intercept of $2,700\no pauls with a y - intercept of $2,856\no pauls with a y - intercept of $2,800\no tims with a y - intercept of $2,780

tim explained a function in words and paul wrote an equation.\ntim\nthe 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.\npaul\ny - 1,400 = 56(x + 26)\nwhose function has the smaller y - intercept?\no tims with a y - intercept of $2,700\no pauls with a y - intercept of $2,856\no pauls with a y - intercept of $2,800\no tims with a y - intercept of $2,780

Answer

Answer:

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

Explanation:

Step1: Find Tim's equation in slope - intercept form

The slope $m = 225$. Using the point - slope form $y - y_1=m(x - x_1)$, with $x_1 = 8$ and $y_1=4580$. First, $y-4580 = 225(x - 8)$. Expand: $y-4580=225x-1800$. Then $y=225x + 2780$. The y - intercept is $2780$.

Step2: Find Paul's y - intercept

For the equation $y - 1400=56(x + 26)$, expand the right side: $y-1400=56x+1456$. Then $y=56x+2856$. The y - intercept is $2856$.

Step3: Compare y - intercepts

Since $2780<2856$, Tim's function has the smaller y - intercept.