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There are 27 Starbucks in Atlanta with a population of 0.5 million. Brooklyn has 138 Starbucks with a population of 2.533 million. If Atlanta were proportional to Brooklyn in Starbucks-to-population ratio, how many Starbucks should Atlanta have? Round to the nearest whole number.

A. 5
B. 22
C. 10
D. 15

Answer :

Final answer:

The question asks how many Starbucks Atlanta should have to be proportional to Brooklyn. By calculating the ratio of Starbucks to population in Brooklyn, we find it is approximately 1 Starbucks per 18,355 people. When applying this ratio to Atlanta's population, we conclude that around 27 Starbucks would maintain the proportionality.

Explanation:

To determine how many Starbucks Atlanta should have if it was proportional to Brooklyn, we start by calculating the ratio of Starbucks to population in Brooklyn. This is done by dividing the number of Starbucks by the population of Brooklyn.

Brooklyn's ratio is 138 Starbucks per 2.533 million people. So the ratio is 138 / 2,533,000, which simplifies to approximately 1 Starbucks for every 18,355 people (rounded to the nearest whole number).

Using this ratio, we can then calculate the proportional number of Starbucks that Atlanta should have based on its population of 0.5 million. Multiplying 0.5 million by the ratio (which is essentially dividing 0.5 million by 18,355), we get:
Estimated number of Starbucks in Atlanta = 500,000 / 18,355 ≈ 27.25.
Since we have to round to the nearest whole number, Atlanta should have approximately 27 Starbucks if it were proportional to Brooklyn.

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