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

12.7 weeks
12.7 weeks

3.16 weeks
3.16 weeks

9 weeks
9 weeks
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Answer 1

To determine how many weeks it will take for Destiny's account to reach $343, we can set up an equation based on the information given.

1. Destiny starts with $100.
2. She deposits $27 each week.
3. We want to find out how long it will take for the total amount in her account to reach $343.

Let \( w \) be the number of weeks. The total amount in the account after \( w \) weeks can be expressed as:

\[ 100 + 27w \]

We want to find \( w \) such that:

\[ 100 + 27w = 343 \]

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

1. Subtract 100 from both sides:

\[ 27w = 343 - 100 \]

\[ 27w = 243 \]

2. Next, divide both sides by 27:

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

\[ w = 9 \]

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

So the correct answer is 9 weeks.