problem 1 Life expectancy of man 73.7, in 2002 it was 77.5 years since 1995
E(t) ? t+?
E (11)= ?
problem 2 14m+5n-5m-7n
1. You have stated the problem incorrectly. If E was 77.5 "since 1995", it could not be 73.7 in 2002. Also, the trend is incorrect. Thirdly, you have not defined what year is t = 0.
2.Combine m terms and n terms separately. You should get 9m -2n
To calculate the values in problem 1 and problem 2, we'll need to follow some steps:
Problem 1: Life expectancy
Step 1: Calculate the change in life expectancy per year.
To find the change in life expectancy per year, we subtract the life expectancy in 2002 from the life expectancy in 1995:
Change in life expectancy = 77.5 years - 73.7 years = 3.8 years
Step 2: Determine the formula for life expectancy.
In this case, the formula for life expectancy is a linear function:
E(t) = t + b
Step 3: Substitute the values of t and E(t) we have into the formula and solve for b.
We know that in 1995 (t = 0), the life expectancy was 73.7 years and in 2002 (t = 7), it was 77.5 years.
73.7 = 0 + b
b = 73.7
The formula for life expectancy is: E(t) = t + 73.7
Step 4: Calculate E(11).
To find the life expectancy in 2011 (t = 16), we substitute t = 11 into the formula:
E(11) = 11 + 73.7
E(11) = 84.7 years
Therefore, the life expectancy in 2011 (t = 11) is 84.7 years.
Problem 2: Simplifying the expression 14m + 5n - 5m - 7n
Step 1: Combine like terms:
(14m - 5m) + (5n - 7n)
9m - 2n
Therefore, the simplified expression is 9m - 2n.