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 her account to reach $343?(1 point) Responses 16.4 weeks 16.4 weeks 12.7 weeks 12.7 weeks 9 weeks 9 weeks 3.16 weeks 3.16 weeks
To find the number of weeks it will take Destiny's account to reach $343, we need to determine how many weeks it takes for her total deposits to reach or exceed $343.
If Destiny deposits $27 each week, the equation representing her deposits can be written as:
$27 * number of weeks = total deposits
Let's solve this equation to find the number of weeks:
$27 * number of weeks = $343
Dividing both sides of the equation by $27:
number of weeks = $343 / $27
Calculating the division:
number of weeks = 12.7
Therefore, it will take 12.7 weeks for Destiny's account to reach $343.
The correct answer is: 12.7 weeks
To solve this problem, we need to find out how many weeks it will take for Destiny's checking account balance to reach $343.
Given:
- Initial deposit: $100
- Weekly deposit: $27
To calculate the number of weeks, we can use the following formula:
Total balance = Initial deposit + (Weekly deposit * Number of weeks)
We need to solve for the number of weeks when the total balance reaches $343.
$343 = $100 + ($27 * Number of weeks)
$343 - $100 = $27 * Number of weeks
$243 = $27 * Number of weeks
Number of weeks = $243 / $27
Number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this problem, let's break it down step by step:
1. Destiny opens a checking account with $100.
2. She then deposits $27 each week.
3. We want to find out how many weeks it will take for her account to reach $343.
To figure this out, we can set up an equation:
Starting amount + (Weekly deposit * Number of weeks) = Target amount
$100 + ($27 * Number of weeks) = $343
Now, we can solve for the unknown variable (Number of weeks):
$27 * Number of weeks = $343 - $100
$27 * Number of weeks = $243
Number of weeks = $243 / $27
Number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.