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

4 weeks
4 weeks

5.2 weeks
5.2 weeks

8 weeks
8 weeks

210 weeks

Answer 1

To find out how many weeks it took Kendra to save $330 in her account, we can set up the equation considering her starting balance, the amount she adds each week, and the final balance.

Starting balance = -$70
Amount added each week = $50
Final balance = $330

The equation can be set up as follows:

\[ \text{Starting Balance} + \text{(Amount Added per Week)} \times \text{(Number of Weeks)} = \text{Final Balance} \]

Substituting in the numbers:

\[ -70 + 50w = 330 \]

where \( w \) is the number of weeks. Now we need to solve for \( w \).

1. Add 70 to both sides:

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

2. Now divide both sides by 50 to find \( w \):

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

So it took Kendra 8 weeks to save $330.

The correct response is: 8 weeks.