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.

Question

At this rate, how many weeks did it take Kendra to save $330?

(1 point)
Responses

210 weeks
210 weeks

8 weeks
8 weeks

4 weeks
4 weeks

5.2 weeks

Answer 1

To find out how many weeks it took Kendra to save $330, we can set up an equation based on her current balance, her weekly deposits, and the amount she wants to reach.

1. Kendra starts with a balance of -$70.
2. She deposits $50 each week.
3. She wants her balance to reach $330.

Let \( w \) be the number of weeks it takes Kendra to reach her goal. The equation for her balance after \( w \) weeks can be written as:

\[ -70 + 50w = 330 \]

Now, we'll solve for \( w \):

1. Add 70 to both sides: \[ 50w = 330 + 70 \] \[ 50w = 400 \]

2. Divide both sides by 50: \[ w = \frac{400}{50} \] \[ w = 8 \]

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

The correct response is 8 weeks.