Subjects algebra

Juno Bank 91Ad36

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1. **State the problem:** Juno starts with 150 in their bank account and spends 10 each week. We want to find how many weeks it takes for Juno to have 520 in the account. 2. **Analyze the situation:** Since Juno is spending money, the amount in the account decreases by 10 each week. The table shows the amount decreasing from 150 to 20 over 13 weeks. 3. **Set up the formula:** The amount of money after $w$ weeks is given by $$ M = 150 - 10w $$ where $M$ is the money in the account and $w$ is the number of weeks. 4. **Find $w$ when $M = 520$:** $$ 520 = 150 - 10w $$ 5. **Solve for $w$:** $$ 520 - 150 = -10w $$ $$ 370 = -10w $$ $$ \cancel{370} = \cancel{-10}w \Rightarrow w = \frac{370}{-10} $$ 6. **Simplify:** $$ w = -37 $$ 7. **Interpretation:** A negative number of weeks means Juno never reaches 520 by spending 10 per week starting from 150. Instead, the amount decreases over time. **Final answer:** Juno will never have 520 in the account under these conditions.