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?

Question

16.4 weeks

12.7 weeks

9 weeks

3.16 weeks

Answer 1

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.