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 can set up an equation.
Let x represent the number of weeks it will take for Destiny's account to reach $343.
Since Destiny deposits $27 each week, the amount of money in her account after x weeks can be represented as:
100 + 27x = 343
To solve for x, we can subtract 100 from both sides of the equation and then divide by 27:
27x = 243
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
The correct answer is 9 weeks.
To solve this problem, we can set up an equation.
Let x represent the number of weeks.
The initial amount in the account is $100.
The amount deposited each week is $27.
So the equation becomes: 100 + 27x = 343.
To solve for x, we need to isolate it.
Subtract 100 from both sides of the equation:
27x = 343 - 100
27x = 243
Divide both sides by 27:
x = 243 / 27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
The correct answer is 9 weeks.
To solve this real-world problem, we need to determine how many weeks it will take for Destiny's account balance to reach $343.
We can start by recognizing that the initial balance of her account is $100, and she deposits $27 every week.
So, we need to find the number of weeks it takes for the total deposits to accumulate to $343.
We can express this problem mathematically as follows:
Initial Balance + (Weekly Deposit × Number of Weeks) = Target Balance
$100 + ($27 × Number of Weeks) = $343
To isolate the Number of Weeks variable, we can rearrange the equation:
$27 × Number of Weeks = $343 - $100
$27 × Number of Weeks = $243
To solve for Number of Weeks, we divide both sides of the equation by $27:
Number of Weeks = $243 / $27
Number of Weeks ≈ 9
Therefore, it will take approximately 9 weeks for Destiny's account balance to reach $343.
Hence, the correct answer is: 9 weeks.