Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343? (1 point)

Question

Responses

12.7 weeks
12.7 weeks

16.4 weeks
16.4 weeks

3.16 weeks
3.16 weeks

9 weeks

Answer 1

To determine how many weeks it will take for Destiny's account to reach $343, we can set up the following equation:

1. Start with the initial amount in the account: \[ 100 \]

2. Each week, she deposits $27. After \( w \) weeks, the total amount in the account will be: \[ 100 + 27w \]

3. We want this amount to equal $343: \[ 100 + 27w = 343 \]

4. Now, we can solve for \( w \): \[ 27w = 343 - 100 \] \[ 27w = 243 \] \[ w = \frac{243}{27} \] \[ w = 9 \]

Thus, it will take Destiny 9 weeks to reach $343 in her checking account.

The correct response is 9 weeks.