To find out how many weeks it will take for Destiny's account to reach $343, we need to set up an equation and solve for the number of weeks.
Here's a step-by-step solution:
1. **Initial amount in the account**: Destiny starts with $100.
2. **Weekly deposit**: She deposits $27 each week.
Let \( x \) be the number of weeks it takes for her account to reach $343.
The amount in her account after \( x \) weeks will be the initial deposit plus \( x \) times the weekly deposit.
\[ 100 + 27x = 343 \]
3. **Solve for \( x \)**:
First, subtract 100 from both sides of the equation:
\[ 27x = 343 - 100 \]
Which simplifies to:
\[ 27x = 243 \]
Next, divide both sides by 27:
\[ x = \frac{243}{27} \]
Which simplifies to:
\[ x = 9 \]
So, it will take Destiny **9 weeks** for her account to reach $343.
Therefore, the correct answer is:
**9 weeks**
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?
12.7 weeks
12.7 weeks
3.16 weeks
3.16 weeks
9 weeks
9 weeks
16.4 weeks
1 answer