Subjects algebra

Savings Rate 0405F1

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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