Middle School

There are 2,010 Starbucks in California. The population of California is 38.8 million.

Which of the following best represents the Starbucks per capita in scientific notation?

A. \(1.93 \times 10^4\)
B. \(5.18 \times 10^{-4}\)
C. 51.8
D. \(5.18 \times 10^{-5}\)

Answer :

Scientific notations are used to represent relatively large and small numbers.

The population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]

The populations are given as:

[tex]Starbucks = 2010[/tex]

[tex]People = 38.8\ million[/tex]

The population of Starbucks per capita is calculated by dividing the population of Starbucks by the population of the people.

So, we have:

[tex]Per\ Capita = \frac{Starbucks}{People}[/tex]

Substitute known values

[tex]Per\ Capita = \frac{2010}{38.8\ million}[/tex]

Divide

[tex]Per\ Capita = 0.00005180412[/tex]

Approximate

[tex]Per\ Capita = 0.0000518[/tex]

Express as scientific notation

[tex]Per\ Capita = 5.18 \times 10^{-5}[/tex]

Hence, the population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]

Read more about scientific notation at:

https://brainly.com/question/1767229

Answer:

5.18x10-5 is the correct answer

Step-by-step explanation:

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