In 1994, the life expectancy of males in a certain country was67.3 years. In 199

Question

In 1994, the life expectancy of males in a certain country was67.3 years. In 1999 it was 69.9 years. Let E represent the lifeexpectancy in year t and let t represent number of years since1994. The linear function E(t) that fits the data is E(t) = ?t +?   (round to the nearest tenth) Use the function to predict the lfe expectancy of males in2007. E(13) = ? (round to the nearest tenth) In 1994, the life expectancy of males in a certain country was67.3 years. In 1999 it was 69.9 years. Let E represent the lifeexpectancy in year t and let t represent number of years since1994. The linear function E(t) that fits the data is E(t) = ?t +?   (round to the nearest tenth) Use the function to predict the lfe expectancy of males in2007. E(13) = ? (round to the nearest tenth)

Explanation / Answer

If using 1994 as year 0   then using the formulay=m*x+b    E=y    t=x and m=slope m=change in y / change in x    =(69.9-67.3) / (5-0)=2.6/5=0.5 So E(t)=0.5*t+b   we know in 1994 it was 67.3 plugin 67.3=0.5*0+b   so b =67.3 E(t)=0.5*t+67.3 E(13)=0.5*13+67.3=73.8

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