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8. During snowstorms, the city sends out trucks to plow. The amount of snowfall and the number of trucks sent out are shown in the table. PART A Is the relationship between the amount of snowfall and the number of trucks proportional? Explain. \( \square \) PART B For a 23 -inch snowfall, how many trucks would the city send out? Explain.

Ask by Tucker Nguyen. in the United States
Feb 03,2025

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To determine if the relationship between snowfall and the number of trucks is proportional, compare the ratio of trucks to snowfall for each data pair. If the ratio remains constant, the relationship is proportional. For 23 inches of snowfall, multiply the constant ratio by 23 to find the number of trucks needed.

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Beyond the Answer

The relationship between the amount of snowfall and the number of trucks sent out is not proportional because the amount of snow does not consistently lead to a predictable number of trucks. For example, if the data shows that a 10-inch snowfall results in 5 trucks, but a 20-inch snowfall results in 10 trucks, the ratio of trucks to snow is not constant throughout the snowfall amounts, indicating that other factors influence the decision. To estimate how many trucks the city would send out for a 23-inch snowfall, we can look at the pattern in the existing data. If we extrapolate from the previous snowfall amounts, such as using interpolation or fitting a linear model based on the trucks already dispatched for specific amounts, we might predict that approximately 12 or 13 trucks could be necessary for 23 inches. However, we must consider variables such as truck availability or severity of conditions, which could affect the actual number.

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