Multi-step Equations Quick Check

Question

5 of 55 of 5 Items

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

210 weeks
210 weeks

4 weeks
4 weeks

5.2 weeks
5.2 weeks

8 weeks

Answer 1

To find out how many weeks it took Kendra to save $330, we can set up the equation based on the information provided.

Kendra starts with a balance of \(-70\) dollars and deposits \(50\) dollars each week. After \(x\) weeks, her balance will be:

\[ -70 + 50x = 330 \]

Now, let's solve for \(x\):

1. Add \(70\) to both sides:

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

2. Divide both sides by \(50\):

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

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

The correct response is 8 weeks.