Question

The life expectancy of E (Males) in the year 2000 was 68 years. It is increased to 75 years in

2010.

i. Express E as a linear function of time T

ii. Determine the life expectancy in the year 2015.

Answer 1

Answer:

Step-by-step explanation:

The required equation is

E=a+mt, where m is the slope of the line. Taking year 2000 as t=0, year 2010 as t=10 and year 2015 as t=15, we see that the given line passes through the points (0, 68) and (10, 75). From these points the slope of the line is(75-68)/(10-0)=0.7. Hence

E=.7t+a. Substitute the point (0, 68) in the equation to get a=68. Hence

E=.7t+68

When t=15 (year 2015)

E=.7(15)+68=78.5