Bot GPT 4-o mini To determine if the relationship between the number of towers and the number of customers is proportional, we need to calculate the ratios of towers to customers for each pair of values provided in the table.
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For 4.25 thousand customers and 187 towers: \[ \text{Ratio} = \frac{187 \text{ towers}}{4.25 \text{ thousand customers}} = \frac{187}{4.25} = 44 \]
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For 5.25 thousand customers and 231 towers: \[ \text{Ratio} = \frac{231 \text{ towers}}{5.25 \text{ thousand customers}} = \frac{231}{5.25} = 44 \]
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For 6.25 thousand customers and 275 towers: \[ \text{Ratio} = \frac{275 \text{ towers}}{6.25 \text{ thousand customers}} = \frac{275}{6.25} = 44 \]
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For 8.25 thousand customers and 363 towers: \[ \text{Ratio} = \frac{363 \text{ towers}}{8.25 \text{ thousand customers}} = \frac{363}{8.25} = 44 \]
Now, since all the ratios calculated are equal (44), we can conclude that the relationship is proportional.
Answer:
A. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 44.
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