1. **State the problem:** We need to find the rate of savings per week for Nevaeh, Nasim, and Gabriella, then sort them from greatest to least.
2. **Nevaeh's savings:** She started with $32 and adds $12.50 every week.
The weekly savings rate is $12.50$ dollars per week.
3. **Nasim's savings:** Given the table:
| Weeks (x) | Total Savings (y) |
|-----------|------------------|
| 4 | 92 |
| 6 | 127 |
| 8 | 162 |
| 10 | 197 |
To find Nasim's weekly savings rate, calculate the slope $m$ of the line:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{127 - 92}{6 - 4} = \frac{35}{2} = 17.5$$
Check with other points:
$$\frac{162 - 127}{8 - 6} = \frac{35}{2} = 17.5$$
$$\frac{197 - 162}{10 - 8} = \frac{35}{2} = 17.5$$
So Nasim saves $17.5$ dollars per week.
4. **Gabriella's savings:** From the graph, two points are given: (0, 18) and (10, 93).
Calculate the slope:
$$m = \frac{93 - 18}{10 - 0} = \frac{75}{10} = 7.5$$
So Gabriella saves $7.5$ dollars per week.
5. **Sort the savings rates from greatest to least:**
Nasim: $17.5$ per week
Nevaeh: $12.5$ per week
Gabriella: $7.5$ per week
**Final answer:** Nasim > Nevaeh > Gabriella
Savings Rate 0405F1
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