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)
16.4 weeks
12.7 weeks
9 weeks
3.16 weeks
To solve this problem, we can set up an equation to represent the situation. Let w represent the number of weeks it takes for Destiny's account to reach $343. Since she deposits $27 each week, the total amount of money in her account after w weeks can be represented as 100 + 27w.
We can now set up the equation:
100 + 27w = 343
Subtracting 100 from both sides:
27w = 343 - 100
27w = 243
Dividing both sides by 27:
w = 243 / 27
w = 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 need to determine the number of weeks it will take for Destiny's account to reach $343 starting from an initial deposit of $100 and weekly deposits of $27.
Let's set up an equation to represent the problem:
Initial deposit + (number of weeks x weekly deposit) = target amount
In this case:
$100 + (number of weeks x $27) = $343
Now, we will solve for the number of weeks:
$100 + (number of weeks x $27) = $343
(number of weeks x $27) = $343 - $100
(number of weeks x $27) = $243
Dividing both sides of the equation by $27:
number of weeks = $243 / $27
number of weeks = 9
Therefore, it will take Destiny approximately 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 to reach $343, starting from an initial deposit of $100 and subsequent weekly deposits of $27.
Let's break it down step by step:
1. Start with the initial deposit: $100.
- Destiny already has $100 in her account.
2. Add the weekly deposits: $27 each week.
- Each week, Destiny adds an additional $27 to her account.
3. Find out how many weeks it will take for the account balance to reach $343.
- To do this, we can set up an equation: $100 + ($27 × number of weeks) = $343
4. Solve the equation to find the number of weeks.
- Subtract $100 from both sides of the equation: ($27 × number of weeks) = $343 - $100
- Simplify: ($27 × number of weeks) = $243
- Divide both sides of the equation by $27: number of weeks = $243 ÷ $27
- Calculate: number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343. So the correct answer is "9 weeks."