Question

in 1991 the life expectancy of males in certain county was 68.6 years in 1996 it was 70.9 years let t represent the life expectancy in year t and let t represent the number of years since 1991

Answer 1

I know that model
life expectance= slope*time + constant is the math model here.

first thing, slope:

slope= changelifeexpatance/changetime
= (70.9-68.6)/(1996-1991)=2.3/5

life expectance= 2.3/5 * year + constant
now to find the constant:

life expectancey= 2.3/5 *t + constant where t= (year-1991)
70.9=2.3/5* 5 + constant
solving for constant,
70.9=2.3 + constant
constant= 70.9-2.3=68.6

amazing, so now you have
lifeexpectancey=2.3/5 * t+68.6 where t is the years since 1991

Answer 2

thank u