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
Savings Rate D81056
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