Question

ane deposits $600 in her new savings account. She consistently deposits the same amount (x) into the account each month. At the end of 12 months, the balance is $2400. Which TWO statements are correct for this situation?
Responses
A x + $600 = $2400 represents the situation.x + $600 = $2400 represents the situation.
B 12x + $600 = $2400 represents the situation.12x + $600 = $2400 represents the situation.
C 12x − $600 = $240012x − $600 = $2400
D Jane deposited $125 each month.Jane deposited $125 each month.
E Jane deposited $150 each month.

Answer 1

To solve this situation, we need to determine the monthly deposit amount (x) that Jane makes, given that she starts with $600 and ends up with $2400 after 12 months.

1. We know that by the end of the 12 months, the total amount in the savings account can be represented by the equation:
\[
12x + 600 = 2400
\]
This is statement B, which accurately describes the situation.

2. Now, let's solve the equation for x:
\[
12x + 600 = 2400
\]
Subtract 600 from both sides:
\[
12x = 2400 - 600
\]
\[
12x = 1800
\]
Now, divide by 12:
\[
x = \frac{1800}{12} = 150
\]

Therefore, Jane deposited $150 each month, which is statement E.

Based on this analysis, the correct statements are:
- **B**: \(12x + 600 = 2400\) represents the situation.
- **E**: Jane deposited $150 each month.