Subjects algebra

Savings Rate D81056

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1. **State the problem:** We need to find the rate of savings per week for Mariam, Kadeem, and Jose, then sort them from greatest to least. 2. **Mariam's savings:** She started with $8 and adds $20 every week. The weekly savings rate is the amount added each week, which is $20. 3. **Kadeem's savings:** Given the table: - At week 2, savings = 31 - At week 5, savings = 61 - At week 8, savings = 91 - At week 11, savings = 121 To find the weekly savings rate, calculate the slope $m$ of the line connecting these points: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{61 - 31}{5 - 2} = \frac{30}{3} = 10$$ So, Kadeem saves $10 per week. 4. **Jose's savings:** From the graph points: - At week 3, savings = 49.50 - At week 5, savings = 74.50 Calculate the weekly savings rate: $$m = \frac{74.50 - 49.50}{5 - 3} = \frac{25}{2} = 12.5$$ Jose saves $12.5 per week. 5. **Sort the savings rates:** - Mariam: 20 - Jose: 12.5 - Kadeem: 10 From greatest to least: Mariam, Jose, Kadeem. **Final answer:** Mariam > Jose > Kadeem