In 1991,the life expectancy of meals in a certain country was 69.8 years. In 1996, it was 72.7 years. Let E represent the life expectancy in year t represent years.
E(t)= ____+ _____
Use the function to predict the life expecancy of maels in 2008
E(17)= ____
Life expectancy of meals? maels?
To find the equation for life expectancy over time, we need to determine the rate of change in the life expectancy from 1991 to 1996.
Step 1: Calculate the rate of change:
The change in life expectancy from 1991 to 1996 is:
72.7 - 69.8 = 2.9 years
Step 2: Determine the rate of change per year:
To find the rate of change per year, we divide the change in life expectancy by the number of years:
2.9 / 5 = 0.58 years/year
Step 3: Write the equation:
Now that we know the rate of change per year, we can write the equation for life expectancy over time. Let's call the starting year t = 0, so in this case, the year 1991 is represented by t = 0.
E(t) = 69.8 + (0.58 * t)
To predict the life expectancy of males in 2008, we need to substitute t = 17 into the equation:
E(17) = 69.8 + (0.58 * 17)
E(17) = 69.8 + 9.86
E(17) ≈ 79.66
Therefore, the predicted life expectancy of males in 2008 is approximately 79.66 years.