Kendra’s savings account has a balance of −$70 . She puts $50 each week into her account. After a certain period of time, she has $330 in her account. At this rate, how many weeks did it take Kendra to save $330? (1 point) Responses 8 weeks 8 weeks 4 weeks 4 weeks 210 weeks 210 weeks 5.2 weeks

Answer 1

To find out how many weeks it took Kendra to reach $330 in her account, we can set up the equation based on her initial balance and her weekly deposits.

1. Initial balance: -$70
2. Amount added each week: $50
3. Final balance she wants: $330

Let \( x \) be the number of weeks it takes for Kendra to reach her goal. The equation representing her savings after \( x \) weeks is:

\[ -70 + 50x = 330 \]

Now, we can solve for \( x \):

1. Add 70 to both sides:

\[ 50x = 330 + 70 \] \[ 50x = 400 \]

2. Divide both sides by 50:

\[ x = \frac{400}{50} = 8 \]

Thus, it took Kendra 8 weeks to save $330.

The correct response is 8 weeks.