Question

Question

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)
Responses

3.16 weeks
3.16 weeks

16.4 weeks
16.4 weeks

12.7 weeks
12.7 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:

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

Initially, she has $100, and she deposits $27 each week. The equation representing her total balance after \( w \) weeks is:

\[ \text{Total Balance} = 100 + 27w \]

We want to find \( w \) when the total balance reaches $343:

\[ 100 + 27w = 343 \]

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

1. Subtract 100 from both sides:

\[ 27w = 343 - 100 \]

\[ 27w = 243 \]

2. Divide both sides by 27:

\[ w = \frac{243}{27} = 9 \]

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

The correct answer is 9 weeks.