Question

In a certain​ country, the life expectancy for women in 1900 was 4949 years and in 2000 it was 8181 years. Assuming that life expectancy between 2000 and 2100 increases by the same percentage as it did between 1900 and​ 2000, what will the life expectancy be for women in​ 2100?

Answer 1

The life expectancy for 2100 will be 134 years.

Explanation:

Consider the provided information.

In 1900 women life expectancy was 49 years and in 2000 it was 81 years.

First calculate the difference of life expectancy between 1900 to 2000.

81-49=32 years

Percentage change is:

`\text{Percentage change}=(32)/(49)* 100\approx65.31`

It is given that the increase in percentage remains same.

Therefore, next year life expectancy will be:

`\begin{aligned}81+65.31\% *81&=81(1+(65.31)/(100))\\&=81(1.6531)\\&=133.9011\approx134\end{aligned}`

Hence, the life expectancy for 2100 will be 134 years.