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?(1 point)
Responses

16.4 weeks
16.4 weeks

12.7 weeks
12.7 weeks

9 weeks
9 weeks

3.16 weeks

Answers

Answered by GPT 3.5
To solve this problem, we can set up an equation. Let's call the number of weeks it takes for Destiny's account to reach $343 as "x".

The initial amount in the account is $100. Every week, $27 is deposited into the account. So, after x weeks, the amount in the account would be 100 + 27x.

We want to find when the amount in the account reaches $343, so we can set up the following equation:
100 + 27x = 343

To solve for x, we can subtract 100 from both sides of the equation:
27x = 343 - 100
27x = 243

Finally, we can divide both sides by 27 to solve for x:
x = 243/27
x = 9

Therefore, it will take Destiny 9 weeks for her account to reach $343. Answer: 9 weeks.
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