Question

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

Answer 1

60(5m2 +2m +3)                               the answer is d

Answer 2

If we let x as the amount of money saved per month and m be the number of months:

xm = 300m2 + 120m 180

The quadractic equation would result to:
300m2 + (120-x)m + 180 = 0

Using the quadratic formula we have the following factorization:
(m - ( -120 + x + sqrt (x2 - 240x - 2145600) ) / 600) (m - ( -120 +x - sqrt (x2 - 240x - 2145600) ) / 600) = 0