The country's population in 1994 was 98 million. in 2001 it was 103 million estimate the population in 2018. round to the nearest million

Question

Rapunzel

Mathematics

2 October, 00:06

The country's population in 1994 was 98 million. in 2001 it was 103 million estimate the population in 2018. round to the nearest million

+5

Answers (1)

Know the Answer?

Logan Cooley · Answer 1

Populations generally increase as an exponential function. In a short period of time, it could be approximated as linear (first degree). Depending what your teacher expects,

Linear model:

rate of increase = (y2-y1) / (x2-x1) = (103-98) / (2001-1994) = 5/7 million per year.

From 2001 to 2018, there are 17 years. So add 17 (5/7) millions to population of 2001.

exponential model:

Over 7 years, the ratio of populations is 103/98, so the annual ratio is (103/98) ^ (1/7) = 1.007134, about 0.7134%.

Use the compound interest formula to find the population growing at the same rate from 2001 for 17 years:

population at 2018 = 103 millions * 1.007134^17 which is a little over 116 millions.