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 for her account to reach $343? (1 point)

Responses

12.7 weeks
12.7 weeks

9 weeks
9 weeks

16.4 weeks
16.4 weeks

3.16 weeks

1 answer

To solve this problem, we need to set up an equation to represent the situation.

Let's suppose it takes "x" weeks for Destiny's account to reach $343.

Since she starts with $100 and deposits $27 each week, we can express the amount of money in her account after "x" weeks as:

100 + 27x

Now, we can set up an equation to solve for "x":

100 + 27x = 343

To isolate "x", we subtract 100 from both sides:

27x = 343 - 100
27x = 243

To solve for "x", we divide both sides by 27:

x = 243 / 27
x = 9

Therefore, it will take Destiny 9 weeks for her account to reach $343.

The correct response is: 9 weeks.