Question

In 1982, there were 3.18 million people and 70.3 million sheep in New Zealand. By 2006, there were 40.1 million sheep, and the human population had increased by 0.96 million. What was the change in the number of sheep per person from 1984 to 2006? Round your answer to the nearest hundredth.

Answer 1

Explanation:

In 1982, there were 3.18 million people and 70.3 million sheep in New Zealand. This means that the number of sheep per person in 1982 would be

70.3 × 10^6/3.18 × 10^6 = 22.11

By 2006, there were 40.1 million sheep, and the human population had increased by 0.96 million. This means the the number of people in 2006 would be

3.18 × 10^5 + 0.96 × 10^6 = 4.14 × 10^6

The number of sheep per person in 2006 would be

40.1 × 10^6/4.14 × 10^6 = 9.69

The change in the number of sheep per person from 1982 to 2006 is

22.1 - 9.69 = 12.41 sheep per person.