Question

Australia population in 2000 19,169,000 0.6%

china 1,261,832,000 0.9%
Mexico 100,350,000 1.8%
Zaire 51,965,000 3.1%
need to know estimated population and annual growth rates for 4 countries in the year 2000. find the expected population of each country in 2025, assuming their annual growth rates remain steady. I tried and I used ekt and I guess I was wrong. I had a stroke and I have problems with some kinds of math. must have written out like inside book

Answer 1

see the attachment

Explanation:

You can use e^(kt), but you need to adjust k from the numbers given so that the multiplier represents an annual growth rate. I find it easier just to use the growth factor.

Consider Australia, for example. The increase each year is 0.6% = 0.006 times the current-year population. That means the multiplier (growth factor) is 1.006. Since this multiplies the population each year for 25 years, we can use an exponent of 25 to signify the repeated multiplication.

In 2025, the population of Australia (in thousands) will be ...

19,169 · 1.006^25 ≈ 22,261 . . . . thousand

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When calculations are repetitive, I find it convenient to us a spreadsheet to do them. The result is attached. The formula of interest is shown in the formula bar. Population numbers are in thousands.