Hawaii has an area of 1.1 × square miles and a population of 1.2 × people. Which key strokes on a calculator will give the population density of Hawaii?

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Question:

Hawaii has an area of 1.1 × 10^4 square miles and a population of 1.2 × 10^6 people.

Which key strokes on a calculator will give the population density of Hawaii?

Answer:

The population denisty of Hawaii is 109.09 people per square mile

Solution:

Given that,

[tex]Area\ of\ Hawaii = 1.1 \times 10^{4} \text{ square miles }[/tex]

[tex]Population\ of\ hawaii = 1.2 \times 10^6 \text{ people }[/tex]

To find: Population density of Hawaii

To calculate the population density, you will divide the population by the size of the area

[tex]\text{Population density } = \frac{\text{Number of people}}{\text{ Land Area }}[/tex]

Substituting the given values, we get]

[tex]\text{Population density } = \frac{1.2 \times 10^6}{1.1 \times 10^4}[/tex]

Use the law of exponent,

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

Applying this we get,

[tex]\text{Population density } = \frac{1.2 \times 10^{6-4}}{1.1 }\\\\\text{Population density } = \frac{1.2 \times 10^2}{1.1 }\\\\\text{Population density } = 1.09 \times 10^2 = 1.09 \times 100\\\\\text{Population density } = 109.09[/tex]

Thus the population denisty of Hawaii is 109.09 people per square mile

Answer:

1.2EE6/1.1EE4 or choice B if you are using Time4learning hope this helped some people who were struggling!

Step-by-step explanation: