1. **State the problem:** We have Sam's savings represented by the equation $y = 35x + 10$, where $y$ is the balance and $x$ is the number of weeks. Sam's sister's savings are shown on a graph starting at $(1,40)$ and rising steeply to about $(6,180)$. 2. **Analyze Sam's savings:** The equation $y = 35x + 10$ means Sam saves $35$ per week and started with $10$. 3. **Analyze sister's savings from the graph:** At week 1, sister's balance is $40$. At week 6, sister's balance is about $180$. Calculate sister's weekly saving rate: $$\text{slope} = \frac{180 - 40}{6 - 1} = \frac{140}{5} = 28$$ So sister saves $28$ per week and started with $40 - 28 \times 1 = 12$ (approximately). 4. **Evaluate statements:** - Statement 7: "Sam is saving more money per week than his sister." Sam saves $35$ per week, sister saves $28$ per week. So, **True**. - Statement 8: "Sam started with less money in his account than his sister." Sam started with $10$, sister started with about $12$. So, **True**. - Statement 9: "After 5 weeks, Sam's sister will have $25 less in her account than Sam." Calculate balances at $x=5$: Sam: $35 \times 5 + 10 = 175 + 10 = 185$ Sister: $28 \times 5 + 12 = 140 + 12 = 152$ Difference: $185 - 152 = 33$, not $25$. So, **False**. **Final answers:** 7. True 8. True 9. False