To find out how many weeks it will take for Destiny's account to reach $343.00, we can set up an equation based on her initial deposit and weekly deposits.
- Destiny starts with an initial amount of $100.00.
- She adds $27.00 each week.
- We want to find the number of weeks \( w \) it takes to reach $343.00.
The equation that represents the total amount in her account after \( w \) weeks is:
\[ \text{Total amount} = \text{Initial amount} + (\text{weekly deposit} \times \text{number of weeks}) \]
Substituting in the values:
\[ 343 = 100 + 27w \]
Now, we can solve for \( w \):
- Subtract $100 from both sides:
\[ 343 - 100 = 27w \]
\[ 243 = 27w \]
- Divide both sides by 27:
\[ w = \frac{243}{27} \]
\[ w = 9 \]
It will take Destiny 9 weeks to reach $343.00 in her checking account.
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