Question

I NEED HELP PLEASE, THANKS! :)

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady. Show work.

Answer 1

Answer: see below

Explanation:

Use the Exponential function: y = a(b)ˣ where

• y = expected population
• a = initial population
• b = growth rate in decimal form (remember to add 100%)
• x = number of years

`\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}`