Problema Solution

Life Expectancy The number of years a person born

in the United States is expected to live can be approximated

by the equation y = 0.189x + 70.8, where x

is the number of years since 1970. Solve this equation

for x. Use this new equation to determine in which

year the approximate life expectancy will be 80.2 years

Answer provided by our tutors

y = 0.189x + 70.8

y - 70.8 = 0.189x

(y - 70.8)/0.189 = x

When y = 80.2,

x = (80.2 - 70.8)/0.182

= 49.7 

The year, then, would be 1970 +49.7 = 2019.7