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)

Question

O 9 weeks

O 12.7 weeks

16.4 weeks

3.16 weeks

Answer 1

Let's set up an equation to represent Destiny's checking account growth over time. Let the number of weeks be represented by w.

She starts with $100 and deposits $27 each week. We want to know when her total will be $343.

The equation that models this situation is:

Initial amount + (weekly deposit x number of weeks) = Total amount
100 + 27w = 343

To find the number of weeks (w), we need to solve for w:

27w = 343 - 100
27w = 243

Now divide both sides of the equation by 27 to isolate w:

w = 243 / 27
w = 9

Therefore, it will take Destiny 9 weeks for her account to reach $343. The correct answer is:

☑️ 9 weeks