Bot GPT 4-o mini To determine if the relationship between the number of towers and the number of customers is proportional, let’s calculate the ratios of towers to customers based on the provided data:
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For 4.25 thousand customers: \[ \text{Ratio} = \frac{204}{4.25} \approx 48 \]
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For 5.25 thousand customers: \[ \text{Ratio} = \frac{252}{5.25} \approx 48 \]
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For 6.25 thousand customers: \[ \text{Ratio} = \frac{300}{6.25} \approx 48 \]
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For 8.25 thousand customers: \[ \text{Ratio} = \frac{396}{8.25} \approx 48 \]
Since all the ratios of towers to customers (approximately 48) are essentially equivalent, we can conclude that the relationship is proportional.
Part 1 The correct answer is: B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of \( \frac{48}{1} \).
Part 2 To find how many customers correspond to 528 towers, we can use a proportion based on one of the already established ratios.
Using the first ratio:
\[ \frac{204 \text{ towers}}{4.25 \text{ thousand customers}} = \frac{528 \text{ towers}}{y \text{ thousand customers}} \]
This matches option A. Therefore, the correct proportion is:
A. \( \frac{4,250}{204} = \frac{y}{528} \)
1 answer