Question

HELP NOW PLEASE Now try solving a problem about an increasing population on your own.

In 2000, the world population was about 6,080,000,000. The annual rate of
increase was about 2%. Suppose the rate of increase continues to be 2%.
SAVE AND CLOSE
World population in
2000:60.000.000
11
10
Approximately how many years will it take for the world's population to
increase to 8,252,000,000 people? Since there will be the original 100% plus an
additional 2% each year, the base in the exponential equation is 1.02. Use the
equation 8252 (6080) (1.02)", where x is the number of years. Round to
the nearest year.

Answer 1

15.4 years

Explanation:

Expressing the population in billions, we need the number of years it will take for a world population of 6080 to 8252 (billions), at a growth rate of 2%. See the attached worksheet.

The equation for growth is:

Final = Initial*(1 + growth rate)^(years)

8252 = 6080*(1.02)^(x), whre x is years and the population figures are in billions.

Using logarithms, x is 15.4 years for the population to grow to 8,252,000,000 people.