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 this problem, we can set up an equation. Let's call the number of weeks it takes for Destiny's account to reach $343 as "x".
The initial amount in the account is $100. Every week, $27 is deposited into the account. So, after x weeks, the amount in the account would be 100 + 27x.
We want to find when the amount in the account reaches $343, so we can set up the following equation:
100 + 27x = 343
To solve for x, we can subtract 100 from both sides of the equation:
27x = 343 - 100
27x = 243
Finally, we can divide both sides by 27 to solve for x:
x = 243/27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343. Answer: 9 weeks.
To solve this problem, we need to determine the number of weeks it will take for Destiny's account to reach $343, given that she starts with $100 and deposits $27 each week.
Let's set up an equation to represent this situation:
Initial amount + (Weekly deposit * Number of weeks) = Target amount
$100 + ($27 * Number of weeks) = $343
Now, we can solve this equation for the number of weeks.
$27 * Number of weeks = $343 - $100
$27 * Number of weeks = $243
Number of weeks = $243 / $27
Number of weeks = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.
To solve this real-world problem, we need to determine the number of weeks it will take for Destiny's checking account to reach $343.
First, let's break down the problem:
- Destiny starts with $100 in her account.
- She deposits $27 each week.
- We need to find the number of weeks it will take for her account to reach $343.
To find the solution, we can set up an equation:
100 + 27x = 343
Where x represents the number of weeks.
Now, let's solve for x:
27x = 343 - 100
27x = 243
Dividing both sides of the equation by 27:
x = 243/27
x = 9
Therefore, it will take Destiny 9 weeks for her account to reach $343.