Subjects algebra

Unit Rates B35B65

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1. **State the problem:** Find the unit rate for each table where $x$ and $y$ values are given. 2. **Formula:** The unit rate is found by dividing $x$ by $y$ or $y$ by $x$, depending on the relationship. Here, the problem states $x \div k = y$, so the unit rate is $k$. 3. **For part (a):** - Given pairs: $(90,45), (120,60), (200,100)$ - Check ratio $\frac{x}{y}$: $$\frac{90}{45} = 2, \quad \frac{120}{60} = 2, \quad \frac{200}{100} = 2$$ - This confirms $x \div 2 = y$. - So, the unit rate is $2$. 4. **For part (b):** - Given pairs: $(72,9), (400,50), (800,100)$ - Check ratio $\frac{x}{y}$: $$\frac{72}{9} = 8, \quad \frac{400}{50} = 8, \quad \frac{800}{100} = 8$$ - This confirms $x \div 8 = y$. - So, the unit rate is $8$. **Final answers:** - (a) Unit rate = $2$ - (b) Unit rate = $8$