Final answer:
To achieve a life expectancy of 110 years from 2009, it would take approximately 5.77 decades.
Step-by-step explanation:
To find out in how many years humanity would achieve a life expectancy of 110 years from 2009, we need to determine the number of decades it would take to reach that value. Given that life expectancy gains 5.2 years every decade, we can calculate the number of decades by subtracting the life expectancy in 2009 from the desired life expectancy of 110 years and dividing it by the rate of gain per decade.
Let's do the calculation:
- Life expectancy in 2009: 80 years
- Desired life expectancy: 110 years
- Gain per decade: 5.2 years
- Number of decades to reach 110 years (n): (110 - 80) / 5.2
Using the formula, we can calculate:
n = (110 - 80) / 5.2
Simplifying the equation:
n = 30 / 5.2
n ≈ 5.77
Therefore, it would take approximately 5.77 decades to achieve a life expectancy of 110 years from 2009.