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?

Answer choices:

16.4 weeks

12.7 weeks

9 weeks

3.16 weeks

1 answer

To find the number of weeks it will take Destiny's account to reach $343, we can set up an equation.

Let the number of weeks be represented by "x".

Starting with $100, she deposits $27 each week.

The equation to represent this situation is:

100 + 27x = 343.

To solve for x, we need to isolate the variable on one side of the equation.

Subtracting 100 from both sides, we have:

27x = 343 - 100,

27x = 243.

To solve for x, we divide both sides of the equation by 27:

x = 243/27 = 9.

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

The correct answer is 9 weeks.