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
9 weeks
9 weeks
16.4 weeks
16.4 weeks
12.7 weeks
12.7 weeks
3.16 weeks
To solve this problem, we can set up an equation. Let "x" represent the number of weeks it takes for her account to reach $343.
The initial amount in her account is $100, and she deposits $27 each week. So, the equation becomes:
100 + 27x = 343
To solve for x, we can subtract 100 from both sides of the equation:
27x = 343 - 100
27x = 243
Now, divide both sides of the equation by 27:
x = 243/27
x = 9
Therefore, it will take her 9 weeks for her account to reach $343.
So, the correct response is: 9 weeks