Question

90 POINTS!! HELP PLSS!

The population of the state of Arizona in 2018 was 7.172 cross times 10 to the power of 6, and the total area of the state is 295 comma 260 square kilometers. What was the population density in 2018? Round your answer to the nearest whole number.

Answer 1

Population density of Arizona in 2018 was
`\sf 24 \: (people)/(km^2)`

Explanation:

Definition:

Population density is the number of people per unit area.

In this case:

• Population of Arizona in 2018:
  `\sf 7.172 * 10^6 = 7,172,000 \: people`
• Total area of Arizona: 295,260 square kilometers
• Population density: ?

To calculate the population density, we will divide the population by the area. We can express this mathematically as follows:

`\boxed{\sf \textsf{Population density }= (Population)/( Area)}`

Substituting value of population and area in above formula, we get,

`\sf Population\:\: density = (7,172,000)/(295,260) \approx 24\: (people)/(km^2)`

Therefore,

The population density of Arizona in 2018 was
`\sf 24 \: (people)/(km^2)`

Answer 2

24
`(people)/(km^(2) )`

Explanation:

296, 260 written in scientific notation is

2.96260 x
`10^(5)`

To find the population density

`(population)/(unit of land)`

`(7.172x10^(6) )/(2.9526 x10^(5) )` Divide the first factors in the fraction. Subtract the exponents when you divide

2.42904558694 x
`10^(1)` Move the decimal 1 place to the right and round to the nearest whole number

24
`(people)/(km^(2) )`

Helping in the name of Jesus.