7 of 87 of 8 Items Question 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 16.4 weeks 16.4 weeks 12.7 weeks 12.7 weeks 9 weeks 9 weeks 3.16 weeks
To solve the problem, we need to find the number of weeks it takes for Destiny's account to reach $343.
We can set up an equation to represent the problem. Let's assume it takes x weeks.
The initial amount in the account is $100.
For each week, $27 is added to the account.
Therefore, the equation becomes:
100 + 27x = 343
Now, let's solve for x:
27x = 343 - 100
27x = 243
x = 243/27
x = 9
So, it will take Destiny 9 weeks for her account to reach $343.
The correct response is: 9 weeks
To find out how many weeks it will take for Destiny's account to reach $343, we can set up an equation.
Let's denote the number of weeks as "w".
Initially, Destiny opens the checking account with $100.
Then, each week she deposits $27.
So, the amount in the account after w weeks can be represented as:
100 + 27w
We want to find the number of weeks when the account reaches $343, so we can set up the following equation:
100 + 27w = 343
Now, we can solve for w by subtracting 100 from both sides of the equation:
27w = 343 - 100
27w = 243
Divide both sides by 27 to isolate w:
w = 243 / 27
w = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this problem, we need to determine how many weeks it will take for Destiny's account to reach $343 given that she deposits $27 each week.
We can start by setting up an equation to represent the problem:
$100 + $27x = $343
Where x represents the number of weeks it takes for her account to reach $343.
To solve for x, we can subtract $100 from both sides of the equation:
$27x = $343 - $100
$27x = $243
Next, divide both sides of the equation by $27 to isolate x:
x = $243 / $27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343. So the correct response is "9 weeks".