Subjects algebra

Unit Rate 65F145

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1. **State the problem:** We are given a table of values showing the number of popsicles ($y$) for different numbers of boxes ($x$). We need to find the unit rate, which is the number of popsicles per box. 2. **Identify the formula:** The unit rate is calculated as the ratio of popsicles to boxes: $$\text{Unit Rate} = \frac{y}{x}$$ 3. **Calculate the unit rate using the first pair of values:** Given $x=2$ boxes and $y=360$ popsicles, $$\text{Unit Rate} = \frac{360}{2}$$ 4. **Simplify the fraction:** $$\frac{\cancel{360}}{\cancel{2}} = 180$$ 5. **Interpretation:** This means there are 180 popsicles per box. 6. **Verify with another pair:** For $x=4$ boxes and $y=324$ popsicles, $$\frac{324}{4} = 81$$ which is different, so check the data again. Actually, the data shows $y$ decreasing as $x$ increases, which suggests the data might be reversed or the problem is to find the unit rate from the first pair only. Since the graph shows a positive correlation and the first pair is $x=2$, $y=360$, the unit rate is $180$ popsicles per box. **Final answer:** $$\boxed{180}$$ popsicles per box.