Question

Australia population in 2000 19,169,000 0.6%

Answer 1

Answer:

  see the attachment

Step-by-step 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.