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?
16.4 weeks
12.7 weeks
9 weeks
3.16 weeks
To solve this problem, we need to find how many weeks it will take for Destiny's account to reach $343.
Let's set up an equation to represent the situation:
Starting amount + (amount deposited per week * number of weeks) = target amount
$100 + ($27 * number of weeks) = $343
Now, let's solve for the number of weeks:
$27 * number of weeks = $343 - $100
$27 * number of weeks = $243
Dividing both sides of the equation by $27:
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, we can set up an equation to represent the situation:
Starting amount + (rate of deposit * number of weeks) = desired amount
In this case, the starting amount is $100, the rate of deposit is $27 per week, and the desired amount is $343.
So, the equation becomes:
$100 + ($27 * number of weeks) = $343
To solve for the number of weeks, we can start by subtracting $100 from both sides of the equation:
$27 * number of weeks = $343 - $100
$27 * number of weeks = $243
Then, divide both sides of the equation by $27:
number of weeks = $243 / $27
number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve the problem, we need to find out how many weeks it will take for Destiny's account balance to reach $343. We know that she starts with $100 and deposits $27 each week.
Here's how we can calculate the number of weeks it will take:
1. Start with the initial amount in the account, which is $100.
2. Add the amount deposited each week, which is $27.
3. Keep repeating steps 1 and 2 until the account balance reaches or exceeds $343.
Let's calculate the weeks:
1st week: $100 (initial amount) + $27 (deposit) = $127
2nd week: $127 + $27 = $154
3rd week: $154 + $27 = $181
4th week: $181 + $27 = $208
5th week: $208 + $27 = $235
6th week: $235 + $27 = $262
7th week: $262 + $27 = $289
8th week: $289 + $27 = $316
9th week: $316 + $27 = $343
So, it will take Destiny 9 weeks for her account balance to reach $343.
Therefore, the correct answer is: 9 weeks.