Question

Laura opened a deposit account. In the first month, she made an initial deposit of $2500. She plans to contribute $225 a month after her initial deposit. The account does not pay any interest.

After how many months will she have a total of $6,775?

A. 18
B. 15
C. 20
D. 21

Answer 1

20 months

Turn sentences into equation:

She deposits $225 every month after initial deposit of $2500 in first month

Equation: y = 2500 + (x - 1)225

where y represents total amount, x represents months

Use this equation to find at which month her account will have $6,775

2500 + (x - 1)225 = 6,775

(x - 1)225 = 6,775 - 2,500

(x - 1)225 = 4275

x - 1 = 19

x = 20

Thus, it will take 20 months when she have a total of $6,775.