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)
Responses
To solve this problem, we need to determine how many weeks it will take for Destiny's account balance to reach $343.
We can start by subtracting her initial deposit of $100 from the target balance of $343:
$343 - $100 = $243
Next, we divide the remaining amount by the weekly deposit amount of $27 to determine how many weeks it will take for Destiny's account balance to reach $243:
$243 รท $27 = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this real-world problem, we need to figure out how many weeks it will take for Destiny's account to reach $343 starting from an initial deposit of $100 and making weekly deposits of $27.
To find the number of weeks, we can set up an equation:
Weekly deposit x number of weeks + initial deposit = desired amount
In this case, the weekly deposit is $27, the initial deposit is $100, and the desired amount is $343.
So, the equation becomes:
$27 x number of weeks + $100 = $343
To solve for the number of weeks, we can rearrange the equation:
$27 x number of weeks = $343 - $100
$27 x number of weeks = $243
Now, we can divide both sides of the equation by $27 to solve for the number of weeks:
number of weeks = $243 / $27
number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343 with a weekly deposit of $27.
To solve this problem, we need to find out how many weeks it will take for Destiny's account balance to reach $343.
First, let's set up an equation to represent the relationship between the number of weeks and the account balance.
Let W represent the number of weeks, and B represent the account balance.
We know that Destiny starts with $100 and deposits $27 each week. So, the equation becomes:
B = 100 + 27W
We want to find the number of weeks it will take for the account balance to reach $343. So, we can set up another equation:
343 = 100 + 27W
To solve for W, we can subtract 100 from both sides of the equation:
343 - 100 = 100 + 27W - 100
243 = 27W
Now, divide both sides of the equation by 27:
W = 243 / 27
W = 9
Therefore, it will take Destiny 9 weeks for her account balance to reach $343.