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A country has a population of 9,507,000. In a given year, the country’s birth rate is 11 births per 1,000 people. The country’s death rate that year is 13. 5 deaths per 1,000 people. Use proportions to calculate the total births and total deaths for the year. Then calculate the change in population.

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Answer:

in the explanation

Explanation:

To calculate the total births for the year, we can use proportions.

First, let's calculate the number of births per 1,000 people:

Birth rate = 11 births per 1,000 people

So, for every 1,000 people, there are 11 births.

To find the total number of births, we can set up a proportion:

(11 births / 1,000 people) = (x births / 9,507,000 people)

To solve for x (the total number of births), we cross-multiply:

11 * 9,507,000 = 1,000 * x

104,577,000 = 1,000x

Dividing both sides by 1,000, we find:

x = 104,577 births

Therefore, the total number of births for the year is approximately 104,577.

Now let's calculate the total deaths for the year using the same method:

Death rate = 13.5 deaths per 1,000 people

So, for every 1,000 people, there are 13.5 deaths.

Setting up a proportion:

(13.5 deaths / 1,000 people) = (y deaths / 9,507,000 people)

Cross-multiplying:

13.5 * 9,507,000 = 1,000 * y

128,104,500 = 1,000y

Dividing both sides by 1,000:

y = 128,104 deaths

Therefore, the total number of deaths for the year is approximately 128,104.

To calculate the change in population, we subtract the total deaths from the total births:

Change in population = Total births - Total deaths

Change in population = 104,577 - 128,104

Change in population = -23,527

The negative sign indicates that the population decreased by 23,527.

Therefore, the change in population for the year is approximately -23,527.

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