To find out how many weeks it will take for Destiny's account to reach $343, we can set up the following equation based on her initial deposit and weekly deposits:
Let \( w \) represent the number of weeks.
Starting amount: $100
Deposit per week: $27
Final amount: $343
The equation representing her account balance after \( w \) weeks is: \[ 100 + 27w = 343 \]
Now, we can solve for \( w \):
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Subtract 100 from both sides: \[ 27w = 343 - 100 \] \[ 27w = 243 \]
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Divide both sides by 27: \[ w = \frac{243}{27} \] \[ w = 9 \]
Therefore, it will take Destiny 9 weeks for her account to reach $343.
The correct response is: 9 weeks