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

1 answer

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.