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Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take her account to reach $343?

Use the equation to solve the problem: 100 + 27w = 343

(1 point)
Responses

16.4 weeks
16.4 weeks

12.7 weeks
12.7 weeks

9 weeks
9 weeks

3.16 weeks

1 answer

To solve the equation \(100 + 27w = 343\), we first need to isolate \(w\).

  1. Subtract 100 from both sides of the equation: \[ 27w = 343 - 100 \] \[ 27w = 243 \]

  2. Now, divide both sides by 27 to solve for \(w\): \[ w = \frac{243}{27} \] \[ w = 9 \]

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

The correct response is: 9 weeks.