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

9 weeks
9 weeks

3.16 weeks
3.16 weeks

16.4 week

Answer 1

To solve the problem, we can set up an equation. Destiny starts with $100 and deposits $27 each week. We want to find out how many weeks it will take for her account to reach $343.

Let \( w \) be the number of weeks. The total amount in her account after \( w \) weeks can be represented by the equation:

\[ 100 + 27w = 343 \]

Now, we need to solve for \( w \):

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

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

It will take Destiny 9 weeks for her account to reach $343.

Therefore, the correct response is 9 weeks.