solve the following real-world problem: Destiny open a checking account with $100 and then deposits $27 each week how many weeks will it take for her account to reach 343

Answer 1

To solve this real-world problem, we need to determine the number of weeks it will take for Destiny's account to reach $343.

Let's break it down step by step:

1. Destiny opens a checking account with $100.
2. She deposits $27 each week.
3. We need to find the number of weeks it will take for her account balance to reach $343.

Now, let's calculate how many weeks it will take:

Initial balance: $100
Deposit per week: $27

After the first week, Destiny will have:
$100 (initial balance) + $27 (deposit) = $127

After the second week, Destiny will have:
$127 (previous balance) + $27 (deposit) = $154

After the third week, Destiny will have:
$154 (previous balance) + $27 (deposit) = $181

And so on...

We can observe that Destiny's balance increases by $27 per week, starting from an initial balance of $100.

Now, let's calculate how many weeks it will take for Destiny's account balance to reach $343:

$100 (initial balance) + $27 (deposit per week * number of weeks) = $343

$27 (deposit per week * number of weeks) = $343 - $100

$27 (deposit per week * number of weeks) = $243

Dividing both sides of the equation by $27:

deposit per week * number of weeks = $243 / $27

number of weeks = $243 / $27

number of weeks = 9

Therefore, it will take Destiny approximately 9 weeks for her account balance to reach $343, assuming she consistently deposits $27 per week.