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)
O 9 weeks
O 12.7 weeks
16.4 weeks
3.16 weeks
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