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

16.4 weeks
16.4 weeks

9 weeks
9 weeks

12.7 weeks
12.7 weeks

3.16 weeks

Answer 1

To find out how many weeks it will take for Destiny's account to reach $343, we can set up the following equation based on her initial deposit and weekly deposits:

Let \( w \) represent the number of weeks.

Starting amount: $100
Deposit per week: $27
Final amount: $343

The equation representing her account balance after \( w \) weeks is: \[ 100 + 27w = 343 \]

Now, we can solve for \( w \):

1. Subtract 100 from both sides: \[ 27w = 343 - 100 \] \[ 27w = 243 \]

2. Divide both sides by 27: \[ w = \frac{243}{27} \] \[ w = 9 \]

Therefore, it will take Destiny 9 weeks for her account to reach $343.

The correct response is: 9 weeks