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
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.