Question
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
Answers
GPT-4o mini
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**.
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**.