## Related questions with answers

In $2015$, the U.S. population was about $321$ million. The overall birth rate was $12.5$ births per $1000$ people, and the overall death rate was $8.4$ deaths per $1000$ people. a. Approximately how many births were there in the United States in $2015$? b. About how many deaths were there in the United States in that year? c. Based on births and deaths alone (i.e., not counting immigration), about how much did the U.S. population increase during $2015$? d. Suppose that during $2015$ the U.S. population actually increased by $3.0$ million. Based on this fact and your results from part (c), estimate how many people immigrated to the United States. What proportion of the overall population growth was due to immigration?

Solution

Verified**a.** The overall birth rate is $12.5$ per $1000$ people. To find the birth rate per person, we need to divide the given rate by $1000.$

$\frac{12.5}{1000}=0.0125\text{ per person}$

The population is about $321 \text{ million}$ people. When the birth rate per person is multiplied by the total population, the obtained number is an approximate number of births in a certain year.

$0.0125\cdot321\text{ million}=4.01\text{ million}$

Approximately $4.01\text{ million}$ children were born in that year.

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